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Key Features of Functions: Quiz 3 Review

Total questions: 24

Worksheet time: 1hrs 2mins

Name
Class
Date
1.

Find the function's x- and y-intercepts.

a)

x-int (0,-3) and (0,1)

y-int (-4,0)

b)

x-int (-3,0) and (1,0)

y-int (0,-4)

c)

x-int (-4, 1)

y-int (-4, ∞)

d)

x-int (-3,0) and (1,0)

y-int (0,-3)

2.

Find the function's maximum and minimum points

a)

no maximum

minimum (-4,-1)

b)

no minimum

maximum (-3, 1)

c)

no maximum

minimum (-1,-4)

d)

maximum (-3,1)

minimum (0,-3)

3.

Identify where the function is increasing and where it is decreasing.

a)

increasing (-1, ∞) and decreasing (-∞,-1)

b)

increasing (-∞, -1) and decreasing (-1, ∞)

c)

increasing (-∞,∞) and decreasing nowhere

d)

increasing (-1, -4) and decreasing (-3, 1)

4.

Identify the function's domain and range.

a)

domain (-∞,∞) and range (-∞,∞)

b)

domain (-∞, ∞) and range (-4,∞)

c)

domain (-∞,∞) and range [-4,∞)

d)

domain [-3, 1] and range [-4,∞)

5.

Identify the function's x- and y-intercepts.

a)

x-int (3,0) and y-int (0,1)

b)

x-int (0,3) and y-int (1,0)

c)

x-int (1,3) and y-int (3,1)

d)

x-int (3,0) and y-int none

6.

Where is the function increasing and where is it decreasing?

a)

increasing nowhere and decreasing (-∞,∞)

b)

increasing (-∞,1) and decreasing (1,∞)

c)

increasing (3,∞) and decreasing (-∞,3)

d)

increasing (-1,3) and decreasing nowhere

7.

What are the domain and the range of the function?

a)

domain (-∞,∞) and range (-∞,∞)

b)

domain (∞,-∞) and range (∞,-∞)

c)

domain (-∞, 3] and range [3,∞)

d)

domain (-∞,1] and range [1,∞)

8.

Identify the function's x- and y-intercepts.

a)

x-int (1,0) and y-int (0,-1)

b)

x-int (0,1) and y-int (-1,0)

c)

x-int (1,∞) and y-int (-∞,-1)

d)

x-int none and y-int (-1,1)

9.

Where is the function increasing and decreasing?

a)

increasing (-∞,∞) and decreasing nowhere

b)

increasing nowhere and decreasing (-∞,∞)

c)

increasing (1,∞) and decreasing (-∞,1)

d)

increasing (-1,∞) and decreasing (-∞,-1)

10.

Identify the function's x- and y-intercepts.

a)

x-int (-2,0), (1,0), and (3,0) and y-int (3,0)

b)

x-int (-2,0), (1,0), and (3,0) and y-int (0,3)

c)

x-int (0,-2), (0,1), and (0,3) and y-int (0,3)

d)

x-int (0,-2), (0,1), and (0,3) and y-int (3,0)

11.

What is the maximum height?

a)

200

b)

50

c)

3

d)

0

12.
What is the y-intercept?
a)
(6, 0)
b)
(0, 6)
c)
(-3, 0)
d)
(0, -3)
13.
a)
Function
b)
Not a Function
14.
a)
Function
b)
Not a Function
15.
On which interval is the graph increasing?
a)
[-5,-3]
b)
[-3,-1]
c)
[1,4]
d)
[5,∞)
16.
Which ordered pair could represent a  
y-intercept on a graph?
a)
(6, 0)
b)
(0, 4)
c)
(-1, 3)
d)
(2, 0)
17.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
18.
What is the domain of the graph?
a)
y≥1
b)
x ≥ 1
c)
All real numbers
d)
none of these
19.
Name the x-intercept(s)?
a)
(0, 0)
b)
(2, 4)
c)
(0, 0) and (0, 4)
d)
(0, 0) and (4, 0)
20.
What is the minimum of this graph?
a)
(-2,6)
b)
(-0.5,-3.5)
c)
(-1,-3)
d)
(3,0)
21.

Define Maximum

a)

The highest or lowest point on the graph

b)

The highest y-value on the graph

c)

The lowest y-value on the graph

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

22.

Define Minimum

a)

The highest y-value on the graph

b)

Where the parabola touches or intersects the y-axis

c)

Where the parabola touches or intersects the x-axis, also called the x-intercept

d)

The lowest y-value on the graph

23.

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

24.

Determine the domain and range of the function

a)

Domain: All real numbers, Range: All real numbers

b)

Domain: x ≥ -4, Range: All real numbers

c)

Domain: All real numbers, Range: y ≥ -4

d)

Domain: -1 ≤ x ≤ 5, Range: y ≥ -4