Free Printable HA2 Characteristics of Parent Functions

1.

Identify the parent function of the graph.

a)

Quadratic

b)

Rational

c)

Absolute Value

d)

Cubic

2.

Identify the parent function of the graph.

a)

Logarithmic

b)

Linear

c)

Absolute Value

d)

Cubic

3.

Identify the parent function of the graph.

a)

Quadratic

b)

Square Root

c)

Absolute Value

d)

Cubic

4.

Which parent function matches the graph?

a)

f(x) = √(x)

b)

f(x) = ∛(x)

c)

f(x) = |x|

d)

f(x) = a⋅b^x

5.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x) = x²

c)

f(x) =√(x)

d)

f(x) =∛(x)

6.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x)= x²

c)

f(x) = |x|

d)

f(x) = ab^x

7.

Which parent function matches the graph?

a)

y = |x|

b)

y = ∛(x)

c)

y = x²

d)

y = a⋅b^x

8.

Name this Function:

a)

Linear

b)

Quadratic

c)

Absolute Value

d)

Cubed Root

9.

Which parent function is this?

a)

Quadratic

b)

Cubic

c)

Linear

d)

Rational

10.

Which parent function is this?

a)

Absolute Value

b)

Exponential

c)

Rational

d)

Linear

11.

Which parent function is this? f(x)=x³

a)

Linear

b)

Quadratic

c)

Cubic

d)

Rational

e)

Exponential

12.

Which parent function is this? f(x)= $\frac{1}{x}$

a)

Linear

b)

Quadratic

c)

Cubic

d)

Reciprocal

e)

Exponential

13.

The function f(x)= $5^x$ would be an example of what type of function?

a)

Linear

b)

Quadratic

c)

Rational or Reciprocal

d)

Exponential

e)

Absolute Value

14.

The function f(x)= $\frac{2}{x}$ would be an example of what type of function?

a)

Linear

b)

Quadratic

c)

Rational or Reciprocal

d)

Exponential

e)

Absolute Value

15.

The function f(x)=2x-5 would be an example of what type of function

a)

Linear

b)

Quadratic

c)

Rational or Reciprocal

d)

Exponential

e)

Absolute Value

16.

This function f(x)=2x²+5x+7 would be example of what type of function?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Rational or Reciprocal

e)

Absolute Value

17.

The function f(x)= $5\left|2x+5\right|$ would be an example of what function?

a)

Linear

b)

Quadratic

c)

Rational or Reciprocal

d)

Exponential

e)

Absolute Value

18.

Constant Function

What are the domain and range of this function?

a)

D: $\left(-\infty,\infty\right)$

R: $\left[1\right]$

b)

D: $\left(-\infty,\infty\right)$

R: $\left(-\infty,\infty\right)$

c)

D: $\left(0,\infty\right)$

R: $\left[1,\infty\right)$

d)

D: $\left[0,\infty\right)$

R: $\left[0,\infty\right)$

19.

Linear Function

What are the domain and range of this function?

a)

D: $\left(-\infty,\infty\right)$

R: $\left[0,\infty\right)$

b)

D: $\left(-\infty,\infty\right)$

R: $\left(-\infty,\infty\right)$

c)

D: $\left(0,\infty\right)$

R: $\left[-\infty,\infty\right]$

d)

D: $\left[0,\infty\right)$

R: $\left[0,\infty\right)$

20.

Absolute Value Function

What are the domain and range of this function?

a)

D: $\left(-\infty,\infty\right)$

R: $\left[0,\infty\right)$

b)

D: $\left[0,\infty\right)$

R: $\left(-\infty,\infty\right)$

c)

D: $\left(0,\infty\right)$

R: $\left[-\infty,\infty\right]$

d)

D: $\left[0,\infty\right)$

R: $\left[0,\infty\right)$

21.

Quadratic (Squaring) Function

What are the domain and range of this function?

a)

D: $\left(-\infty,\infty\right)$

R: $\left[0,\infty\right)$

b)

D: $\left[0,\infty\right)$

R: $\left(-\infty,\infty\right)$

c)

D: $\left(0,\infty\right)$

R: $\left[-\infty,\infty\right]$

d)

D: $\left[0,\infty\right)$

R: $\left[0,\infty\right)$

22.

Square Root Function

What are the domain and range of this function?

a)

D: $\left(-\infty,\infty\right)$

R: $\left[0,\infty\right)$

b)

D: $\left[0,\infty\right)$

R: $\left(-\infty,\infty\right)$

c)

D: $\left(0,\infty\right)$

R: $\left[-\infty,\infty\right]$

d)

D: $\left[0,\infty\right)$

R: $\left[0,\infty\right)$

23.

Cubic Function

What are the domain and range of this function?

a)

D: $\left(-\infty,\infty\right)$

R: $\left[0,\infty\right)$

b)

D: $\left[0,\infty\right)$

R: $\left(-\infty,\infty\right)$

c)

D: $\left(-\infty,\infty\right)$

R: $\left(-\infty,\infty\right)$

d)

D: $\left[0,\infty\right)$

R: $\left[0,\infty\right)$

24.

Cube Root Function

What are the domain and range of this function?

a)

D: $\left(-\infty,\infty\right)$

R: $\left[0,\infty\right)$

b)

D: $\left[0,\infty\right)$

R: $\left(-\infty,\infty\right)$

c)

D: $\left(-\infty,\infty\right)$

R: $\left(-\infty,\infty\right)$

d)

D: $\left[0,\infty\right)$

R: $\left[0,\infty\right)$

25.

Exponential Function

What are the domain and range of this function?

a)

D: $\left(-\infty,\infty\right)$

R: $\left[0,\infty\right)$

b)

D: $\left[0,\infty\right)$

R: $\left(-\infty,\infty\right)$

c)

D: $\left(-\infty,\infty\right)$

R: $\left(0,\infty\right)$

d)

D: $\left[0,\infty\right)$

R: $\left[0,\infty\right)$

26.

Logarithmic Function

What are the domain and range of this function?

a)

D: $\left(-\infty,\infty\right)$

R: $\left[0,\infty\right)$

b)

D: $\left[0,\infty\right)$

R: $\left(-\infty,\infty\right)$

c)

D: $\left(-\infty,\infty\right)$

R: $\left(0,\infty\right)$

d)

D: $\left(0,\infty\right)$

R: $\left(-\infty,\infty\right)$

27.

Reciprocal Function

What are the domain and range of this function?

a)

D: $\left(-\infty,0\right)\cup\left(0,\infty\right)$

R: $\left(-\infty,0\right)\cup\left(0,\infty\right)$

b)

D: $\left(-\infty,0\right]\cup\left[0,\infty\right]$

R: $\left(-\infty,0\right]\cup\left[0,\infty\right]$

c)

D: $\left(-\infty,0\right)\cap\left(0,\infty\right)$

R: $\left(-\infty,0\right)\cap\left(0,\infty\right)$

d)

D: $\left[0,\infty\right)$

R: $\left[0,\infty\right)$

28.

Which functions have a domain of all real numbers?

a)

Linear, cubic, and square root

b)

Linear, quadratic, absolute value, and cubic

c)

Linear, cubic and reciprocal

d)

Linear, quadratic, absolute value, cubic, reciprocal and exponential

29.

Which functions have a range of all real numbers?

a)

Linear, quadratic, and cubic

b)

Linear and cubic

c)

Linear, cubic and reciprocal

d)

Linear, quadratic, absolute value, cubic, reciprocal and exponential

30.

Which of the following parent function(s) is (are) even?

a)

f(x) = x

b)

f(x) = |x|

c)

f(x) = x²

d)

f(x) = b^x

31.

Which of the parent function(s) has (have) end behavior as x --> ∞ , y --> ∞ ?

a)

f(x) = b^x

b)

f(x) = 1∕x

c)

f(x) = √x

d)

f(x) = log_bx

e)

f(x) = ∛x

32.

Which of the following parent function(s) has (have) a vertical asymptote?

a)

f(x) = b^x

b)

f(x) = x³

c)

f(x) = log x

d)

f(x) = √x

33.

Which of the following does NOT describe the graph of the logarithmic parent function?

a)

The graph has a domain of all positive real numbers.

b)

The graph has a range of all real numbers.

c)

The x-intercept is 1.

d)

The x-axis is the horizontal asymptote.

34.

Which of the following parent functions is symmetric about the y-axis (even)?

SELECT ALL THAT APPLY

a)

Absolute Value

b)

Cube Root

c)

Linear

d)

Quadratic

35.

Which of the following graphs have a horizontal asymptote at y = 0?

a)

Quadratic

b)

Reciprocal, Logarithmic, and Quadratic

c)

Reciprocal, Exponential, and Quadratic

d)

Reciprocal and Exponential

36.

Which of the following parent functions have a minimum point at (0, 0)?

SELECT ALL THAT APPLY

a)

Cube Root

b)

Quadratic

c)

Absolute Value

d)

Cubic

e)

Square Root

HA2 Characteristics of Parent Functions

Total questions: 36

Worksheet time: 9hrs 0mins

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