On a coordinate plane, a piecewise function has 3 lines. The first line has a closed circle at (negative 3, negative 4) and continues horizontally to an open circle at (0, negative 4). The second line has a closed circle at (0, 2) and continues horizontally to an open circle at (4, 2). The third line has a closed circle at (4, 3) and continues horizontally through (5, 3) with an arrow instead of an endpoint.
A step function is shown on the graph. What are the domain and range?

Domain:

Range:

Answers

Answer 1

Answer:Answer:

f(-2) = 2

f(0) = 3

f (4) = -1

Step-by-step explanation:

The equation of the straight line passing through the points (0,3) and (-4,1) is  

⇒ 2(y - 1) = x + 4

⇒ 2y - 2 = x + 4

⇒ 2y = x + 6

⇒  

Again, the equation of the line passing through the points (0,1) and (4,-1) is

⇒ - 2 ( y + 1) = x - 4

⇒ - 2y = x - 2

⇒  

Therefore, the function is defined as

for x ≤ 0 ........... (1) and  

for x > 0 ............ (2)

Therefore, f(-2) = 2 from equation (1).

f(0) = 3 from equation (1)

And f (4) = -1 from equation (2). (Answer)

Step-by-step explanation:

Answer 2

Answer:

Sorry this is late but here:

Domain: real numbers greater than or equal to -3

Range: equal to -4, 2, and 3

Step-by-step explanation:

I just did it on edge :D


Related Questions

You take measurements of the distance traveled by an object that is increasing its speed at a constant rate. The distance traveled d as a function of time t can be modeled by a quadratic function. What is the quadratic function that models distances of 21 ft at 1 s, 59 ft at 2 s, and 141 ft at 4 s?

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Given:

[tex]s_1 = 21 \ \ t_1 = 1\\\\s_2 = 59 \ \ t_2 = 2\\\\s_3 = 141 \ \ t_3 = 4[/tex]

All points are on the graph including its quadratic function, in order to install their coordinates to values of x and y with the following values:

[tex]y= ax^2 + bx + c\\\\21=a+b+c[/tex]      Inserting the coordinates of the first point

[tex]y= ax^2 + bx + c\\\\59 =4a+2b+c[/tex]              Inserting the coordinates of the second point

[tex]y= ax^2 + bx + c\\\\141=16a+4b+c[/tex]       Inserting the coordinates of the third point

please solve this simultaneous equation

Answers

Answer:

b6 2hich method

Step-by-step explanation:

I solv3 this

pls help

Teachers divided students into groups of 3. Each group of 3 wrote a report that had 9 pictures in it. The students used 585 pictures altogether. How many students were there in all?

Answers

Answer: 195

Step-by-step explanation:

585/9=65

65*3=195

Answer:

The answer is 195 students.

Step-by-step explanation:

There are 2 solutions for this.

1st solution.

1. Start with the basics, the number of pictures we have altogether, 585.

2. Divide the number 585 by the number of students which is 3 to identify the total number of students that reported the 585 pictures.

3. 585/3 = 195, the total number of students.

2nd solution.

1. Start with the total again, the number of pictures we have altogether, 585.

2. Divide the number 585 by the number of pictures in each group total received pictures which is 9.

3. 585 divided by 9 = 65.

4. Take the number 65 which is the number of groups and multiply it by 3 the number of students in each group which will lead to the answer 195 again.

5. 195 is the number of students in total.

6. Extra: to even re-check your answers, multiply 195 by 3 and u will get 585, because each student did 3 reports.

find the area of trapezoid​

Answers

Answer:

1725ft^2

Step-by-step explanation:

I have made it in above picture

Harper has a mask collection of 400 masks. She keeps 21% of the masks on her wall. How many masks does she keep on her wall?

Answers

Answer:

84

Explanation:

400 × 21%

= 400 ÷ 100 x 21 (because 21% = 21/100)

= 84

i hope this helps! :D

1 at 5:00 is where u get ready and then 7:00 u are done then u go to school then at 12;oo is time for luch that time and then 1:00 is done will lunch when are u going back to home when it is afternoon

Answers

Answer:

3:30 maybe or its probably different if your at a different country and their school I don't know if this the correct answer

Step-by-step explanation:

yes yes ye s yes yes help pls

Answers

Answer:

yea its c ಥ⌣ಥ

Step-by-step explanation:

...........

Answer: most likely c.

Iknowimlatebutayofreepoints-✨

Hellohello, if you able to help me then please do. (:

Answers

Answer:

Step-by-step explanation:

it will always be true as long as it is adittion the r is the unknown number just add 15 plus what equals 25

The graph shows a line and two similar triangles.

What is the equation of the line?

A. Y=3/2x
B. Y=2/3x
C. Y=3x
D. Y=2x​

Answers

Answer:

a y=3/2× Pls help me do me one

a

Survey results tell you that 55% of students say chocolate is their favoriate ice cream flavor. If 88 students said chocolate is their favorite ice cream flavor, how many total students were surveyed?

Answers

Answer:

around 165-176

is it a multiple choice answer

Step-by-step explanation:

Does 5/8 and 12/20 form a proportion

Answers

no it doesn’t form a proportion

Oscar is planning to paint his house. For stability, the foot of his 17-foot ladder should be placed 4 feet from the house. How far up the side of the house will the ladder reach?

Answers

Answer: The side of the house will the ladder reached by ladder = 16.52 feet

Step-by-step explanation:

House is standing vertical on the ground.

By placing ladder, it will become a right triangle with hypotenuse as ladder.

By Pythagoras theorem,

[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]

i.e.

[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]

Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)

What is 8 1/4 divided by 3 1/2?

Answers

Answer:

2 5/14

Step-by-step explanation:

what the distance from c to d

Answers

Answer:

i think that the answer is 7 units

Step-by-step explanation:

let me know if im wrong

Answer:

5

Step-by-step explanation:

it was correct for me

HELP PLAESE!!!!!!!!!!!!!! I NEED HELP

Answers

Answer:

A

Step-by-step explanation:

B doesn't sound right

C doesn't either

D is just wrong

Graph the difference between (4.5, -1.5) and (4.5, 7.25)

Answers

Answer:

The difference is 8.75

Step-by-step explanation:

Plot the points or 7.25+1.5=8.75

Which of the following values for x are solutions of the equation: 2|X|+3=5

Answers

Answer:

X=1 or X=-1

Step-by-step explanation:

2|X|+3=5 ⇒|X|=1 ⇒X=1 or X=-1

What is the equation of the line that is represented by the table of values below?

x y
0 15
1 12
2 9
3 6
Group of answer choices

y = -3x + 15

y = -15x - 3

y = 15x - 3

y = 3x + 15

Answers

Answer:

y = -3x + 15

Step-by-step explanation:

slope is -3

y-intercept is 15

9
Find the missing angle.
20"
80°
100°
50
80°
70°

Answers

Answer:

80°

Step-by-step explanation:

20°+80°+missing angle=180°

missing angle=180°-100°=80°

CAN SOMEONE PLZ HELP ME!!!!

Answers

x= 118°

The sum of all the angles is 422°
A pentagon adds up to 540°
540°-422°= 118°

Please help me! I need this answered fast!

Answers

Answer:

3. B

4. D

hope this helps

please help (no links)

Answers

Answer:

EZ Excavation: y = 24.5x

Happy Hauling Service: y = 25x

Step-by-step explanation:

✔️Equation for EZ Excavation:

This can be written in slope-intercept form, y = kx

Where k is the unit rate/slope/constant of proportionality

y = cost

x = dirt

Thus,

k = y/x

Using any given pair of values from the table, say, (8, 196),

k = 196/8

k = 24.5

To write the equation, substitute k = 24.5 into y = kx

Thus:

y = 24.5x

✔️Equation for Happy Hauling Service:

This can be written in slope-intercept form, y = kx

Where k is the unit rate/slope/constant of proportionality

y = cost

x = dirt

Thus,

k = y/x

Using the coordinate of any point on the line, say (1, 25),

k = 25/1

k = 25

To write the equation, substitute k = 25 into y = kx

Thus:

y = 25x

What is 5/3s+19/15= -3/5?

Answers

Answer:

I hope I didn't make mistakes, because I solved it without calculator

Step-by-step explanation:

[tex] \frac{5}{3} s + \frac{19}{15} = - \frac{3}{5} \\ \frac{5}{3} s = - \frac{3}{5} - \frac{19}{15} \\ \frac{5}{3} s = \frac{ - 9 - 19}{15} \\ \frac{5}{3} s = \frac{ - 28}{15} \\ s = - \frac{28}{15} \times \frac{3}{5} [/tex]

[tex]s = - \frac{28}{25} [/tex]

The radius of a circle is 4 centimeters. What is the area of a sector bounded by a 135 degrees arc

Answers

Answer

3π is the answer here is the steps I couldn't write it I'm busy so I just wanted to help I hope it helps

find the value of given expression

=》
[tex] \sqrt{901 - 5 + 4} [/tex]


Answers

Step-by-step explanation:

Answer is 30 I hope this help you

A simple and easy math question.

Answers

Answer:

Cheetah

Blue Wildebeest

Brown Hare

Elk

Step-by-step explanation:

Divide the distance by the time.

Blue Wildebeest: 33 1/3 divided by 2/3 = 50

Brown Hare: 8 divided by 1/6 = 48

Cheetah: 7 divided by 1/10 = 70

Elk: 18 divided by 2/5 = 45

Now you have to order the animals from who has the biggest number(top) to who has the smallest number (bottom).

Answer:

Elk

Brown Hare

Blue Wildebeast

Cheetah

Step-by-step explanation:

Divide the distance by time to make percent

Blue Wildebeast- 33 1/3 ÷ 2/3 = 50%

Brown Hare- 8 ÷ 1/6 = 48%

Cheetah- 7 ÷ 1/10 = 70%

Elk- 18 ÷ 2/5 = 45 %

Least to Greatest: 45%, 48%, 50%, 70%

Least (top) to Greatest (bottom): Elk, Brown Hare, Blue Wildebeast, Cheetah

PLZ HELP me with this and i will elect brainliest winne i promise just look at the photo and tell me what to do plz.

Answers

You could use math in food

i really need help on this.​

Answers

Answer:

both are (0,0)

Step-by-step explanation:

Hello There!

When its asking for the vertical intercept its asking " at what points does the equation cross the vertical axis( y axis) so its pretty much asking for the y intercept¨

In the graph shown below the y intercept is 0 so the coordinates of the vertical intercept would be (0,0)

When its asking for the horizontal intercept its asking " at what points does the equation cross the horizontal axis ( x axis ) so its pretty much asking for the  x intercept."

In the graph shown below the x intercept is 0 so the coordinates of the horizontal intercept would be (0,0)

Math
2 miles is the equivalent to how many feet?

Answers

Answer:

10,560

Step-by-step explanation:

Super easy

Brainliest please :)

10560, hope this helps

What is arc BDE?
Links=reported
Plz helppp!!

Answers

Answer:

around 228 degrees

Step-by-step explanation:

Answer: 143

Step-by-step explanation:

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