Free Printable Math 3 - Function Characteristics

1.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

2.

What are the x-intercepts?

a)

0 and 2

b)

-4 and 0

c)

2 and 3

d)

0 and 4

3.

Determine the interval of this function's DOMAIN.

a)

(-5, -1)

b)

(-∞, ∞)

c)

No solution

d)

(-∞, -3)

4.

Determine the interval of this function's RANGE.

a)

[-4, ∞)

b)

(-3, ∞)

c)

No solution

d)

(-∞, -4]

5.

Determine the interval in which this function is INCREASING.

a)

(-4, ∞)

b)

(-3, ∞)

c)

(∞, -3)

d)

(-∞, -4)

6.

Determine the interval in which this function is DECREASING.

a)

(-3, ∞)

b)

(-3, ∞)

c)

(-∞, -4)

d)

(-∞, -3)

7.

Find the zeros.

a)

x = 0 and 4

b)

x = 0 and -4

c)

x = 0

d)

x = -4

8.

What is the interval of decrease?

a)

(negative infinity, -2)

b)

(-2, infinity)

c)

(2, infinity)

d)

(negative infinity, 2)

9.

What is the y-intercept of
f(x)= 2x² + 4x + 6

a)

(6 , 0)

b)

(-6 , 0)

c)

(0, -6)

d)

(0 , 6)

10.

Which is the interval of increasing for the graph?

a)

(-∞, 1)

b)

(1, ∞)

c)

(-∞, ∞)

d)

(1, 5)

11.

Describe the transformation

a)

left 2 up 5

b)

right 2 up 5

c)

left 2 down 5

d)

right 2 down 5

12.

What are the transformations of this functions compared to the parent function y = √(x)?

a)

Shifted right 5, shifted down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch, and shifted right 5

c)

Reflected over the x-axis, vertical stretch, and shifted left 5

d)

Shifted right 5, shifted down 2

13.

Is the following graph a function?

a)

yes

b)

no

14.

What is the vertex of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

15.

Which interval is the graph negative (y<0)?

a)

$\left(-\infty,-4\right)$

b)

(-4,0)

c)

(-6,2)

d)

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

16.

Which function is graphed?

a)

f(x) = -|2x - 3| + 5

b)

f(x) = -|x + 5| - 3

c)

f(x) = -|2x + 6| + 5

d)

f(x) = -2|x + 5| - 3

17.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

$y=\left|x-2\right|$

c)

$y=\left|x\right|+2$

d)

$y=\left|x\right|-2$

18.

What is the value of h?

f(x) = |x + 4| - 2

a)

4

b)

2

c)

1

d)

0

19.

What is the value of K?

f(x) = 4|x +2| - 3

a)

4

b)

2

c)

-3

d)

0

20.

What is the vertex of the function?

f)x) = -2 |x + 3| - 2

a)

(-3, -2)

b)

(3, -2)

c)

(3, 2)

d)

(-3, 2)

21.

What is the vertex of the function?

f(x) = 2|x - 4|

a)

(2, -4)

b)

(2, 4)

c)

(-4, 0)

d)

(4, 0)

22.

.How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

23.

What is another name for the x-intercepts of a quadratic?

a)

y-intercept

b)

Zeros

c)

x-axis

d)

They don't have another name

24.

What is the significance of the ordered pair (0, -2) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

25.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

26.

What are the coordinates of the vertex, and is it a maximum or minimum?

a)

(-1, 4); Maximum

b)

(-1, 4); Minimum

c)

(4, -1); Maximum

d)

(4, -1); Minimum

27.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

28.

What direction is the following equation opening?
y=-3x²-7x+8

a)

Up

b)

Down

c)

Left

d)

Right

29.

Does
y = -4x²
have a maximum or minimum value?

a)

maximum

b)

minimum

30.

What is the y intercept for the equation:
y = -8x² + 3x - 7

a)

(0, -8)

b)

(0, 3)

c)

(-8, -7)

d)

(0, -7)

31.

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

32.

What piece of information does c identify in the following equation?
y=ax²+bx+c

a)

Zeroes

b)

Axis of Symmetry

c)

Direction

d)

y-intercept

33.

Find the vertex of
f(x) = -x²- 4x + 12

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

34.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

35.

The equation for a regular parabola is...

a)

y = mx + b

b)

y = a(b)^x

c)

y = x²

d)

Ax + By = C

36.

Which one means left

a)

x →-∞

b)

x →∞

37.

Which one means up

a)

y →-∞

b)

y →∞

38.

What does y tell us

a)

Left and right

b)

Up and down

39.

What does x tell us

a)

Left and right

b)

Up and down

40.

Which one means the function goes up on the left

a)

x →-∞, y→∞

b)

x →-∞, y→-∞

41.

Which one means the function goes down on the left

a)

x →-∞, y→∞

b)

x →-∞, y→-∞

42.

What is the End behavior on the left side

a)

x →-∞, y→∞

b)

x →∞, y→-∞

c)

x →-∞, y→-∞

d)

x →∞, y→∞

43.

What is the end behavior of the function

a)

x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

b)

x →∞, y→∞ and x→⁻∞, y→∞

c)

x →∞, y→∞ and x→⁻∞, y→0

d)

x →∞,y→∞ and x→⁻∞, y→⁻∞

44.

$Given\ h\left(x\right)=3x^2-2x+8\ what\ is\ h\left(2\right)?$

a)

13

b)

8

c)

16

d)

answer not here

45.

What is f(2)?

a)

-4

b)

8

c)

0

d)

5

Math 3 - Function Characteristics

Total questions: 45

Worksheet time: 1hrs 21mins

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