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8.5 Identifying Functions

Total questions: 30

Worksheet time: 2hrs 18mins

Name
Class
Date
1.
What are the zeros?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
2.
What are the solutions of this graph?
a)
-2 and 3
b)
-1/2 and -6
c)
-2 and -6
d)
3 and -6
3.

Does the function below open upward or downward?
y=2x26x+5y=-2x^2-6x+5  

a)

Up

b)

Down

4.

Does the function open upward or downward?

y=9x210y=9x^2-10  

a)

Up

b)

Down

5.

Does this table represent a linear or a quadratic function?

a)

Linear because it has a second difference of 2.

b)

Quadratic because it has a second difference of 2.

c)

Linear because it has a first difference of -5.

d)

Quadratic because it has a first difference of -5.

e)

I don't know

6.

Which differences identify a quadratic function?

a)

First Differences

b)

Second Differences

c)

Third Differences

d)

Fourth Differences

7.

Which differences identify a function as linear?

a)

First Differences

b)

Second Differences

c)

Third Differences

d)

Fourth Differences

8.

Which table indicates a linear function?

a)

Table #1

b)

Table #2

c)

Table #3

9.
Is the equation linear, exponential, or quadratic?
y = 2x+ 4
a)
Linear
b)
Exponential
c)
Quadratic
d)
None of the above
10.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential 
c)
Neither
11.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
12.
Is the table linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
13.
Is this table linear, quadratic, exponential, or none of the above?
a)
linear
b)
quadratic
c)
exponential
d)
none of the above
14.

Choose all the equations that are exponential:

a)

y = 6x -5

b)

y = 8x - 9

c)

f(x) = 3x2 + 4

d)

y = 1/3x

e)

y = 7x3

15.
Which function is exponential and decreasing?
a)
A
b)
B
c)
C
d)
D
16.

What kind of function is this graph?

a)

Linear

b)

Quadratic

c)

Exponential

17.

What type of function is f(x)=2(3x) ?

a)

Quadratic

b)

Linear

c)

Exponential

18.
What type of function is this equation:
y= -3x + 12
a)
Linear
b)
Exponential
c)
Neither
19.
Is the table linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
20.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
21.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
22.
Does the following represent growth or decay?
y=1/2(3)x+2
a)
Growth
b)
Decay
23.

What is the decay for the exponential equation y = 25(.35)x ?

a)

25

b)

65%

c)

35.%

d)

.35

24.

Classify the model as Exponential GROWTH or DECAY.

A=10(1.01)3A=10(1.01)^3  

a)

Growth  y=a(1+r)ty=a\left(1+r\right)^t  

b)

Decay  y=a(1r)ty=a\left(1-r\right)^t  

25.

Select all the equations that represent exponential decay.

a)

y=12(4)xy=\frac{1}{2}\left(4\right)^x

b)

y=4(12)xy=4\left(\frac{1}{2}\right)^x

c)

y=80(1.4)xy=80\left(1.4\right)^x

d)

y=60(0.7)xy=60\left(0.7\right)^x

e)

y=3(0.6)xy=3\left(0.6\right)^x

26.
Is this exponential growth or decay?
a)
Growth
b)
Decay
27.

This is an example of: f(x)=3 ( 52)xf\left(x\right)=3\ \left(\ \frac{5}{2}\right)^x  

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

28.

Growth or decay?

a)

Growth

b)

Decay

29.

Growth or decay?

a)

Growth

b)

Decay

30.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic