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The range and the domain

Total questions: 8

Worksheet time: 8mins

Name
Class
Date
1.

What are the domain and range of f(x) = |x|?

a)
Domain: All real numbers, Range: Non-negative real numbers
b)
Domain: Only integers, Range: Non-negative real numbers
c)
Domain: Only negative real numbers, Range: All real numbers
d)
Domain: Only positive real numbers, Range: All real numbers
2.

What are the domain and range of h(x) = -0.5 |x|?

a)
Domain: All real numbers, Range: Non-negative real numbers
b)
Domain: Only negative real numbers, Range: Non-negative real numbers
c)

Domain: All real numbers, Range: Non-Positive real numbers

d)
Domain: Only positive real numbers, Range: Non-negative real numbers
3.

What is the vertex of the following function: g (𝒙) =𝟑| 𝒙|.

a)
(3, 3)
b)
(0, 0)
c)
(-3, -3)
d)
(0, 3)
4.

Absolute Value graphs appear in a U shape.

a)

True

b)

False; they appear as a straight line.

c)

False; they appear in a V shape.

d)

False; they can have several different forms.

5.

Match the function to the correct graph:

y=2xy=-2\left|x\right|  

a)
b)
c)
d)
6.

What is the domain of this function? You can click on the image to see an enlarged view.

a)

All Real Numbers

b)

f(x) ≥ -2

c)

f(x) ≥ 2

d)

x ≥ -2

7.

What is the axis of symmetry for the following graph?

a)

y=3

b)

x=3

c)

x=2

d)

y=2

e)

y=0

8.

What is the vertex of the graph below? You can click the picture to zoom in!

a)

(0, 2)

b)

(2, 0)

c)

x=2

d)

(0, 0)