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Worksheets

Functions Overview

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

The graph shown is what kind of function?

a)

Rational Function

b)

Exponential Function

c)

Quadratic Function

d)

Logistic Function

2.

The graph shown is what kind of function?

a)

Rational Function

b)

Exponential Function

c)

Quadratic Function

d)

Logistic Function

3.

A function is where each ​ (a)   corresponds to exactly one ​ (b)   .

Choose from the below words

x-value

y-value

4.

A function is a type of rule in which each ​ (a)   results in exactly one ​ (b)   .​

Choose from the below words

input

output

linear

nonlinear

straight line

5.

The graph shown is what kind of function?

a)

Rational Function

b)

Exponential Function

c)

Quadratic Function

d)

Logistic Function

6.

The graph shown is what kind of function?

a)

Rational Function

b)

Exponential Function

c)

Quadratic Function

d)

Logistic Function

7.

What is the period of either graph?

y = sin(x) & y = cos (x)

8.

Describe the horizontal and vertical shifts.

a)

left π , up 4

b)

left π , down 3

c)

right π , up 4

d)

right π , down 3

9.

What kind of function is pictured?

a)

This is a linear function.

b)

This is an exponential function.

c)

This is a quadratic function.

10.

f(x) = 2x

a)

This is a linear function.

b)

This is an exponential function.

c)

This is a quadratic function.

11.

How would you represent the red area in an equation?

a)

x2

b)

2x

c)

1

d)

x

12.

A common ratio indicates ...

एक सामान्य अनुपात इंगित करता है ...

a)

a linear function

b)

an exponential function

c)

a quadratic function

13.

A common difference indicates ...

एक सामान्य अंतर इंगित करता है ...

a)

a linear function

b)

an exponential function

c)

a quadratic function

14.

Which of the three functions shown above has the largest and smallest average rate of change on the interval [-3,0]?

a)

largest f (x);

smallest m (x)

b)

largest m (x); smallest g (x)

c)

largest g (x);

smallest m (x)

d)

largest g (x);

smallest f (x)

15.

Which of the following statements is TRUE regarding functions f (x) and g(x) shown?

a)

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

b)

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

c)

Both functions have the same rate of change.

d)

There is insufficient information to determine the rate of change.

16.

The function f(x) = (x - 2)2 + 5 is a transformation of the parent function g(x) = x2.

Describe the transformation.

a)

Shifted 2 units to the right and 5 units up

b)

Shifted 2 units to the left and 5 units up

c)

Shifted 2 units to the right and 5 units down

d)

Shifted 2 units to the left and 5 units down

17.

Use these tables. What is the value of f(g(0))f(g(0)) ?

a)

1

b)

-1

c)

-2

d)

4

18.

Ordered pairs that satisfy a functional relationship appear as (x, f(x)).

a)

Always True

b)

Sometimes True

c)

Never True

19.

Which of the following functions has the characteristics:
• domain all Reals
• increasing (-∞, ∞)
• positive (0, ∞)
• as x → ∞, y → ∞
• as x → -∞, y → 0

a)

b)

c)

d)

20.
a)
b)
c)
d)