Free Printable 2.01 Parent Functions HW

1.

Which parent function matches the graph?

a)

y = |x|

b)

y = $\sqrt[3]{x}$

c)

y = x²

d)

y = e^x

2.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x)= x²

c)

f(x) = |x|

d)

f(x) = e^x

3.

This graph shows a function in the __________ family.

a)

exponential

b)

linear

c)

quadratic

d)

square root

4.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x) = $x^2$

c)

f(x) = ln(x)

d)

f(x) = $\sqrt{x}$

5.

Which parent function matches the graph?

a)

f(x) = $\sqrt{x}$

b)

f(x) = $\sqrt[3]{x}$

c)

f(x) = |x|

d)

f(x) = $e^x$

6.

Name the function family.

a)

absolute value

b)

quadratic

c)

linear

d)

exponential

7.

Name the function family.

a)

quadratic

b)

square root

c)

linear

d)

absolute value

8.

Name the function family.

a)

linear

b)

quadratic

c)

cube root

d)

cubic

9.

Name the function family.

a)

cube root

b)

square root

c)

quadratic

d)

linear

10.

Name the parent function.

a)

quadratic

b)

cubic

c)

square root

d)

logarithmic

11.

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

SELECT ALL THAT APPLY.

a)

f(x) = e^x

b)

f(x) = $\frac{1}{x}$

c)

f(x) = x³

d)

f(x) = ln(x)

e)

f(x) = $\sqrt[]{x}$

12.

I have points in Quadrants I and II but no zeros.

Who am I?

a)

f(x) = ln(x)

b)

f(x) = $\frac{1}{x}$

c)

f(x) = x²

d)

f(x) = $\sqrt[3]{x}$

e)

f(x) = e^x

13.

Name the function family.

a)

cubic

b)

cube root

c)

exponential

d)

quadratic

14.

Name the function family.

a)

cube root

b)

square root

c)

quadratic

d)

linear

15.

Name the function family.

a)

cubic

b)

square root

c)

inverse

d)

cube root

16.

Name the function family.

a)

quadratic

b)

cubic

c)

square root

d)

natural

logarithmic

17.

Name the function family.

a)

square root

b)

inverse

c)

natural logarithm

d)

exponential

18.

Select the parent function whose graph is shown here.

a)

$y=x^3$

b)

$y=\frac{1}{x}$

c)

$y=x$

d)

19.

Select the parent function whose graph is shown here.

a)

y = ln(x)

b)

$y=\frac{1}{x}$

c)

y = $\sqrt[3]{x}$

d)

$y=\sqrt{x}$

20.

f(x) = $x^{\frac{1}{3}}$

a)

Square Root

b)

Cubic

c)

Cube Root

d)

Inverse

21.

Name the function family.

f(x) = $\sqrt{x}$

a)

Square Root

b)

Cubic

c)

Cube Root

d)

Inverse

22.

Name the function family.

f(x) = $\frac{1}{x}$

a)

Square Root

b)

Inverse

c)

Cube Root

d)

Linear

23.

Name the function family.

f(x) = $e^x$

a)

Square Root

b)

Inverse

c)

Quadratic

d)

Exponential

24.

f(x) = ln(x)

a)

Natural Logarithmic

b)

Rational

c)

Inverse

d)

Exponential

25.

What is the name of this parent function?

a)

Quadratic Function

b)

Linear Function

c)

Cubic Function

d)

Square Root Function

26.

Which parent function matches the graph?

a)

y = |x|

b)

y = $\sqrt[3]{x}$

c)

y = x²

d)

y = a⋅b^x

27.

Which parent function matches the graph?

a)

f(x) = $\sqrt[]{x}$

b)

f(x) = $\sqrt[3]{x}$

c)

f(x) = |x|

d)

f(x) = e^x

28.

Name the parent function.

a)

cube root

b)

square root

c)

linear

d)

absolute value

29.

Name the parent function.
f(x) = $e^x$

a)

linear

b)

exponential

c)

logarithmic

d)

cubic

30.

Choose all the parent functions that have line symmetry over the y-axis.

a)

Linear Function

b)

Absolute Value Function

c)

Exponential Function

d)

Quadratic Function

e)

Square Root Function

31.

Choose all the parent functions that contain the origin.

a)

Exponential Function

b)

Quadratic Function

c)

Linear Function

d)

Square Root Function

32.

Which parent function has a horizontal asymptote at y = 0?

a)

Absolute Value Function

b)

Cubic Function

c)

Exponential Function

d)

Square Root Function

33.

Choose all the parent functions that have right end behavior described below:

$as\ x\ \rightarrow+\infty,\ f\left(x\right)\rightarrow+\infty$

a)

Inverse Function

b)

Cubic Funciton

c)

Square Root Function

d)

Exponential Function

34.

Choose all the parent functions that have left end behavior described below:

$as\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$

a)

Exponential Function

b)

Cube Root Function

c)

Quadratic Function

d)

Square Root Function

e)

Cubic Function

35.

Which of these graph is always increasing as we read it from left to right?

SELECT ALL THAT APPLY.

a)

Cube Root Function

b)

Quadratic Function

c)

Exponential Function

d)

Square Root Function

36.

True or false: The domain of the square root parent function is

\left(-\infty,\infty\right)

a)

True

b)

False

37.

The range of absolute value, quadratic, and square root parent functions are all....

a)

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

b)

y = 0

c)

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

d)

$\left(-\infty,0\right]$

38.

Choose all the parent functions that have a domain of

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

a)

Linear Function

b)

Exponential Function

c)

Quadratic Function

d)

Square root Function

e)

Absolute Value Function

39.

WHO AM I?

I am graphed only in Quadrant I and Quadrant IV. I have an x intercept at (1,0) and I do not have a y intercept. What parent function am I?

a)

Exponential

b)

Inverse

c)

Logarithmic

d)

Cubic

40.

WHO AM I?

I have a y intercept at (0,1). You will only find my graph ONLY in Quadrant I and II.

a)

Exponential

b)

Logarithmic

c)

Absolute Value

d)

Quadratic

41.

WHO AM I?

I look like a positive linear function in quadrant I and a negative linear function in quadrant II. My domain is

\left(-\infty,\infty\right)

. My range is

\left[0,\infty\right)

. What parent function am I?

a)

Quadratic

b)

Linear

c)

Rational

d)

Absolute Value

42.

I am decreasing on the interval $\left(-\infty,0\right)$ .

I am increasing on the interval $\left(0,\infty\right)$ .

What parent function(s) am I/are we?

SELECT ALL THAT APPLY

a)

Quadratic

b)

Exponential

c)

Logarithmic

d)

Absolute Value

43.

I have one asymptote, on the x-axis. What parent function am I?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Natural Logarithmic

44.

WHO AM I?

I have one asymptote, the y-axis. What parent function am I?

a)

Quadratic

b)

Square Root

c)

Natural Logarithmic

d)

Exponential

45.

I have two asymptotes. My graph consists of two distinct "branches," in Quadrants I and III.

a)

Inverse

b)

Exponential

c)

Natural Logarithmic

d)

Cubic

46.

WHO AM i?

I am always increasing from left to right. Which parent functions could I be?

SELECT ALL THAT APPLY.

a)

Absolute Value

b)

Cubic

c)

Cube Root

d)

Logarithmic

47.

WHO AM I?

You can draw me perfectly if you have a straightedge!

SELECT ALL THAT APPLY

a)

linear

b)

absolute value

c)

square root

d)

even power function

48.

Which parent function graphs are "V" shaped?

a)

quadratic

b)

cubic function

c)

cube root function

d)

absolute value

49.

For which family does the graph have NO asymptotes?

a)

exponential

b)

natural logarithmic

c)

inverse

d)

square root

50.

What is the only parent function with an endpoint?

a)

square root

b)

absolute value

c)

inverse

d)

inverse square

51.

Name the "shape" of the graph.

f(x) = $\sqrt[]{x}$

a)

sideways snake

b)

sideways half parabola

c)

"V"

d)

upright snake

52.

Name the "shape" of the graph.

f(x) = $\sqrt[3]{x}$

a)

sideways snake

b)

sideways half parabola

c)

"V"

d)

upright snake

53.

Name the "shape" of the graph.

f(x) = x³

a)

sideways snake

b)

sideways half parabola

c)

"V"

d)

upright snake

54.

Name the "shape" of the graph.

f(x) = |x|

a)

sideways snake

b)

sideways half parabola

c)

"V"

d)

upright snake

55.

A banana most resembles which parent function?

a)

absolute value

b)

quadratic

c)

natural logarithm

d)

cube root

56.

A horseshoe most resembles which parent function?

a)

absolute value

b)

quadratic

c)

natural logarithm

d)

cube root

57.

Match

a)

cube root

1.

sideways snake

b)

cubic

2.

upright snake

c)

square root

3.

sideways half parabola

d)

second power

4.

upright parabola

e)

absolute value

5.

V

2.01 Parent Functions HW

Total questions: 57

Worksheet time: 35mins

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