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Domain & Range of Quadratic Functions

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

What is the standard form of a Quadratic function?

a)

ax2+bx+c

b)

ax2+bx-c

c)

ax2-bx+c

d)

ax2-bx-c

2.
What is the domain of the function?
*Hint: Domain is the set of all x-values included in the function.
a)
x≥3
b)
x≤3
c)
All real numbers
d)
-1≤x≤5
3.

What is the range of the function?

*Hint: Range is all of the y-values included in the function.

a)

<y3-\infty<y\le3

b)

3y<-3\le y<\infty

c)

All real numbers

d)

-6≤y≤3

4.

What is the range?

a)

-3 ≤ y < ∞

b)

-1 ≤ y < ∞

c)

All real numbers

d)

-∞ < y ≤ -1

5.

Identify the domain and range of the function.

a)

Domain: -6 ≤ x ≤ 2

Range: -3 ≤ y ≤ 5

b)

Domain: All real number

Range: -3 ≤ y ≤ 5

c)

Domain: All real numbers

Range: -∞ < y ≤ 3

d)

Domain: All real numbers

Range: 3 ≤ y < ∞

6.

What is the range for the function below?

a)

-∞ < y ≤ 4

b)

4 ≤ y < ∞

c)

All real numbers

d)

-3 ≤ y ≤ 1

7.

What is the range of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

0 ≤ y < ∞

d)

0 ≤ x < ∞

8.
What is the domain of the graph?
a)
-3 ≤ x ≤ 3
b)
3 ≤ x ≤ -3
c)
-2 ≤ x ≤ 10
d)
-3 ≤ x ≤ 10
9.
What is the range of the graph?
a)
-2 < y < 10
b)
-3 < x < 3
c)
-2 ≤ y ≤ 10
d)
-3≤ x ≤ 3
10.

What is the domain of the function?

a)

x = all real numbers

b)

-2 < x < 4

c)

-2 ≤ x ≤ 4

d)

-6 ≤ x ≤ 3

11.

What is the range of this functions?

a)

-6 ≤ y ≤ 3

b)

-6 < y < 3

c)

y = all real numbers

d)

-2 ≤ y ≤ 4

12.
What is the domain of the following graph?
a)
(-∞,∞)
b)
(-∞,4]
c)
(-∞,3]
d)
[-2.5,4]
13.

What is the RANGE?

a)

(-3, 3]

b)

all real numbers

c)

[-4, 5]

d)

[-4, ∞)

14.

What is the DOMAIN?

a)

(-3, 3]

b)

all real numbers

c)

[-4, 5]

d)

[-4, ∞)

15.
What are the domain and range of the parabola shown?
a)
Domain: x≥-4
Range: all real numbers
b)
Domain: all real numbers
Range: y <-4
c)
Domain: all real numbers
Range: y ≥-4
d)
Domain: x < -1
Range: all real numbers