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Exponential Functions & CA4 Review

Exponential Functions & CA4 Review

Assessment

Presentation

Mathematics

9th - 12th Grade

Medium

CCSS
HSF.LE.A.2, HSA.CED.A.2, HSF.LE.B.5

+13

Standards-aligned

Created by

Christopher Barrick

Used 7+ times

FREE Resource

6 Slides • 21 Questions

1

​Exponential Functions and Review for CA4

2

a = y - intercept

b = growth or decay

c = asymptote

3

Multiple Choice

Pick the equation that is exponential growth
1
y=2(0.5)x
2
y = 0.5(2)x

4

Multiple Choice

Pick the equation that is exponential decay
1

y=2000(0.88)x

2

y=0.5(1.88)x

5

a = y - intercept OR INITIAL VALUE

b = growth or decay


6

Multiple Choice

What is the initial value of the situation represented by f(x)=0.05(2)x?

1

0.05

2

2

3

0.1

4

1

7

Multiple Choice

Write an exponential function to model the situation.

The value of a car is $18000 and is depreciating at a rate of 12% per year.

1

V(t) = .88(18000)t

2

V(t) = .12(18000)t

3

V(t) = 18000(.88)t

4

V(t) = 18000(.12)t

8

Multiple Choice

Write an exponential function to model the situation.

The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year.

1

C(t) = 12000(6)t

2

C(t) = 12000(1.6)t

3

C(t) = 12000(.06)t

4

C(t) = 12000(1.06)t

9

Multiple Choice

The amount of cola in a soda machine decreases by a rate of 5% each hour. The amount of cola in the machine was originally 75 gallons.

Which function models the amount of cola in gallons after h hours?

1

f(h) = 75(-5)h

2

f(h) = -5(75)h

3

f(h) = .95(75)h

4

f(h) = 75(.95)h

10

Multiple Choice

Write an exponential function to model the situation.

You invest $1500. Your investment increases at a rate of 3.5%.

1

B(t) = 1500(0.965)t

2

B(t) = 1500(1.035)t

3

B(t) = 1500(.035)t

4

B(t) = 1500(1.965)t

11

Multiple Choice

Question image

1

A

2

B

3

C

4

D

12

Multiple Choice

Question image

1

F

2

G

3

H

4

J

13

Multiple Choice

Question image

1

A

2

B

3

C

4

D

14

Multiple Choice

Question image

1

F

2

G

3

H

4

J

15

Review for CA4

16

Transformations

17

Multiple Choice

Question image
If the blue is f(x)=x2, then the red must be
1
g(x)=x2-5
2
g(x)=x2+5
3
g(x)=(x-5)2
4
g(x)=(x+5)2

18

Multiple Choice

Question image
If the blue is f(x)=x2, the red must be
1
g(x)=(x+3)2
2
g(x)=(x-3)2
3
g(x)=x2+3
4
g(x)=x2-2

19

Multiple Choice

Question image

The quadratic function f(x)=x2 is transformed to create g as shown in the graph.

What is the equation of g?

1
2
3
4

20

Linear Factors

21

Multiple Choice

Question image

Which line represents a factor of the quadratic function?

1

The blue line

2

The green line

3

The purple line

4

The black line

22

Multiple Choice

Which binomial is a factor of the polynomial

x2 + x - 6 ?

1

(x - 2)

2

(x - 6)

3

(x + 6)

4

(x + 2)

23

Multiple Choice

Solve the following quadratic equation:

4x2+16x=124x^2+16x=-12  

1

x=12x=-12  

2

x=1, 3x=1,\ 3  

3

x=3, 4x=3,\ 4  

4

x=3, 1x=-3,\ -1  

24

Multiple Choice

Solve the following quadratic equation:

k2+19k+35=7kk^2+19k+35=7k  

1

k=12, 35k=12,\ 35  

2

k=5, 7k=5,\ 7  

3

k=7, 19k=7,\ 19  

4

k=7, 5k=-7,\ -5  

25

Multiple Choice

Question image

Which of the following quadratic equations best represents the following data?

1

y = 7x2 - 3x

2

y = 3x2 - 2x + 1

3

y = 6x2 + 3x - 2

4

y = 7x2 - 3x + 1

26

Multiple Choice

Question image
A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data.
1
y = 61.93x - 1.79
2
y = -1.79x + 61.93
3
y = 0.016x + 0.03
4
y = 0.03x + 0.016

27

Multiple Choice

Question image

Write the exponential regression equation for the data.

1

Y=8.16(2.7)x

2

Y=81.6(2.7)x

3

Y=8.16(.27)x

4

Y=8.16(27)x

​Exponential Functions and Review for CA4

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