Free Printable Function Families

1.

Which family of functions does

y = 2x² - 5x + 3 belong to?

a)

linear

b)

quadratic

c)

exponential

d)

square root

2.

Which family of functions does

6x + 2y = 9 belong to?

a)

linear

b)

quadratic

c)

absolute value

d)

square root

3.

Which family of functions does

y = |4x - 1|+ 8 belong to?

a)

exponential

b)

linear

c)

absolute value

d)

quadratic

4.

Which family of functions does

y = 7(¾)^x belong to?

a)

square root

b)

exponential

c)

linear

d)

quadratic

5.

Which family of functions does
y = $\sqrt{x+1}$ belong to?

a)

exponential

b)

square root

c)

quadratic

d)

linear

6.

Is the function exponential growth or decay?
$y\ =\ 2\left(\frac{1}{4}\right)^x$

a)

growth

b)

decay

7.

Is the function exponential growth or decay?
$y\ =\ 5\left(\frac{4}{3}\right)^x$

a)

growth

b)

decay

8.

What family of functions does the graph belong to?

a)

linear

b)

quadratic

c)

absolute value

d)

square root

9.

What family of functions does the graph belong to?

a)

quadratic

b)

exponential

c)

linear

d)

absolute value

10.

What family of functions does the graph belong to?

a)

exponential

b)

square root

c)

quadratic

d)

absolute value

11.

What family of functions does the graph belong to?

a)

absolute value

b)

exponential

c)

linear

d)

square root

12.

What family of functions does the graph belong to?

a)

exponential

b)

square root

c)

linear

d)

quadratic

13.

The vertex for the function below

is a ____________.

$y\ =\ 2x^2+4x-8$

a)

maximum

b)

minimum

c)

neither

14.

Find the vertex for the function below:
$y\ =\ x^2+6x-2$

a)

(3, 25)

b)

(-6, -2)

c)

(-3, -2)

d)

(-3, -11)

15.

Give the vertex for the function below:
$y=3\left(x-4\right)^2+3\$

a)

(-4, 3)

b)

(4,3)

c)

(3,3)

d)

(4,-3)

16.

What is the slope of the linear function below:
$y=\frac{2}{3}x+7$

a)

7

b)

2/3

c)

-2/3

d)

2

17.

Find the slope of the line through the points:

(2,6) and (4,10)

a)

-2

b)

1/2

c)

2

d)

3/2

18.

What is the y-intercept of the exponential function below:
$y=4\left(2\right)^x$

a)

(0,2)

b)

(2,0)

c)

(4,0)

d)

(0,4)

19.

The vertex for the function below
is a ______________.

$y=-5\left|x+3\right|$

a)

maximum

b)

minimum

c)

neither

20.

Find the starting point for the square roor function below:
$y=3\sqrt{x+1}+7$

a)

(3,-7)

b)

(3,1)

c)

(1,7)

d)

(-1,7)

21.

Which equation represents the graph?

a)

y = 3/4x + 4

b)

y = -3/4x + 3

c)

y = 4/3x + 3

d)

y = -3/4x + 4

22.

Which equation represents the graph?

a)

$y=\sqrt{x-4}$

b)

$y=\sqrt{x+4}$

c)

$y=\sqrt{x}-4$

d)

$y=\sqrt{x}+4$

23.

Which equation represents the graph?

a)

$y=-\sqrt{x+1}$

b)

$y=\sqrt{x}+1$

c)

$y=-\sqrt{x-1}$

d)

$y=-\sqrt{x}-1$

24.

What is the domain of this function?

a)

$y\le1$

b)

$x\le1$

c)

$y\ \ge1$

d)

$x\ge1$

25.

What is the range of this function?

a)

$x\le4$

b)

$y\le4$

c)

$x\ge4$

d)

$y\ge4$

Function Families

Total questions: 25

Worksheet time: 1hrs 15mins

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