wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Describing Functions

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

Which point could be described as an RELATIVE MINIMUM of function f(x) ?

a)

Point A

b)

Point B

c)

Point C

d)

Point D

2.

Which of the below desribes the interval over which f(x) is decreasing using interval notation?

a)
b)
c)
d)
3.

Which is the only function below has a relative maximum?

a)
b)
c)
d)
4.

A person is purchasing some fence at a hardware store to create a rectangular pen for a goat. The person purchased a fence kit that comes with 16 total sections of fence. Each section of fence is 5 feet in length and cannot be partitioned further.(One possible example fence set up is shown in the diagram below has a width that uses 3 section (15 ft) and a length of 5 sections (25 ft)). If at least some area is to be fenced in, what is the minimum width in feet that could be created?

a)

0 feet

b)

5 feet

c)

20 feet

d)

35 feet

5.

Which function below is always DECREASING?

a)
b)
c)
d)
6.

The graph of f(x) = 3x-1 is shown above.

As x approaches negative infinity (x → -∞), what does f(x) approach?

a)

f(x) → -1

b)

f(x) → 0

c)

f(x) → 3

d)

f(x) → ∞

7.

The graph of p(x) = - 2|x| + 3 is shown above. As x approaches negative infinity (x → - ∞), what does p(x) approach?

a)

p(x)→ 3

b)

p(x) → - 1.5

c)

p(x) → -∞

d)

p(x) → ∞

8.

Which linear function below is increasing at the fastest rate?

a)

a(x)

b)

b(x)

c)

c(x)

d)

d(x)

9.

The functions f(x) = ½ x + 1 and g(x) = 2x − 2 are graphed above. Which statement is true about the average rate of change between two functions from x = 0 to x = 2.

a)

f(x) has a greater average rate of change than g(x).

b)

f(x) has a smaller average rate of change than g(x).

c)

f(x) and g(x) have the same average rate of change.

d)

It cannot be determined

10.

Which choice describes an interval of decrease?

a)

(−∞,−3)

b)

(−3,−1)

c)

(−1,2)

d)

(2,∞)