11 Grade Algebra

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B_W3: Quiz #1

Graphing Exponential Growth & Decay (15 questions)

1.

Which of the following is an example of an exponential function?

A.

f(x) = 4

B.

f(x) = 4x

C.

f of x equals 4 divided by x

D.

f(x) = 6x

2.

Which of the following is an exponential decay function?

A.

https://reactor.iqity.net/content.spr?contentId=75725c4c-922f-4c24-b8a4-52271b73e0e6

B.

https://reactor.iqity.net/content.spr?contentId=405ce5d9-030c-4d0b-a7db-187e9d61ccf6

C.

https://reactor.iqity.net/content.spr?contentId=40d2518a-8ea1-4230-8b6c-7ff6a5335bb5

D.

https://reactor.iqity.net/content.spr?contentId=60cdce64-46df-4119-b6de-89925025fc55

3. The graph of https://reactor.iqity.net/content.spr?contentId=e440616a-636d-46c0-996f-68cc8f63047chas _______.

A.

an asymptote at x = 0.

B.

no asymptotes.

C.

an asymptote at y = 0.

D.

an asymptote at y = x.

4.

The graph of https://reactor.iqity.net/content.spr?contentId=6f423c0c-90af-417b-b61a-5cb70bcb28b8shifts the graph of https://reactor.iqity.net/content.spr?contentId=b3ea67b5-4f5f-491c-8d99-bcc16734d412_______ .

A.

left 1 unit

B.

right 1 unit

C.

up 1 unit

D.

down 1 unit

5.

Which exponential function matches the graph?

An exponential graph that has horizontal asymptote y = -3 that passes through (0, -2) and (2, 1).

A.

https://reactor.iqity.net/content.spr?contentId=74a521d9-455b-48ba-8664-fc86128912ff

B.

https://reactor.iqity.net/content.spr?contentId=5aa53f4a-054f-4c1b-b4d5-940c69758070

C.

https://reactor.iqity.net/content.spr?contentId=2844480a-f94a-44fb-a538-d70fbc11de17

D.

https://reactor.iqity.net/content.spr?contentId=c3b1e887-faf8-4e80-a367-f53664fc4f3c

6. Which is the graph of https://reactor.iqity.net/content.spr?contentId=0e6f74cf-7754-41dd-bd2b-e1065e77fe81?

A.

The graph of y=2^x shifted up three units.

B.

An exponential growth graph through (0, 1) and (1, 2)

C.

The graph of y=2^x shifted three units right.

D.

An exponential growth graph that has been reflected about the x axis.

7.

Which is the graph of https://reactor.iqity.net/content.spr?contentId=c44345f7-167c-4eb0-b099-d1fa8be34fe3?

A.

The graph of y=3^x shifted one unit right.

B.

The graph of y=3^x shifted one unit up.

C.

The graph of y=3^x shifted one unit down.

D.

The graph of y=3^x shifted one unit left.

8.

Which exponential function matches the graph?

An expoential graph with horizontal asymptote the x axis that passes through (-1, -1) that passes through (0, -3)

A.

https://reactor.iqity.net/content.spr?contentId=073c1116-7692-47b1-89f6-4badbd8462aa

B.

https://reactor.iqity.net/content.spr?contentId=770549e5-7e8a-46d3-8ce8-8a198ff7edfa

C.

https://reactor.iqity.net/content.spr?contentId=f2c2f12d-7e18-49b4-80ec-2fd0d138721a

D.

https://reactor.iqity.net/content.spr?contentId=138f9755-67de-4007-b5e0-a4bee3d57a40

9.

What is the equation of the following graph? graph through the points (negative 3, one-half), (negative 2, 1), (negative 1, 2) and has a horizontal asymptote at y = 0

A.

f(x) = 2x + 2

B.

f(x) = 2x - 2

C.

f(x) = 2x - 2

D.

f(x) = 2x + 2

10.

What is the equation of the following graph? graph through the points (negative 1, negative 6 and one-half), (0, negative 6), (1, negative 5) and has a horizontal asymptote at y = negative 7

A.

f(x) = 2x + 7

B.

f(x) = 2x - 7

C.

f(x) = 2x - 7

D.

f(x) = 2x + 7

11.

What is the transformation that occurs to the equation y = 2x if it changes to y = 2x + 5?

A.

The graph moves 5 units to the left.

B.

The graph moves 5 units to the right.

C.

The graph moves 5 units down.

D.

The graph moves 5 units up.

12.

What is the transformation that occurs to the equation y = 2x if it changes to y = 2x-3?

A.

There is a transformation of 3 units to the right.

B.

There is a transformation of 3 units to the left.

C.

There is a transformation of 3 units up.

D.

There is a transformation of 3 units down.

13.

What is the transformation that occurs to the parent function y equals one-half to the x powerif the equation changes to y equals one-half to the negative x power?

A.

The graph moves 1 unit up.

B.

The graph reflects across the y-axis.

C.

The graph reflects across the x-axis.

D.

The graph moves 1 unit down.

14.

What is the transformation that occurs to the equation y = 2x if the equation changes to y = 2x-3 + 4?

A.

The transformation moves the graph 3 units to the right and 4 units down.

B.

The transformation moves the graph 3 units to the left and 4 units up.

C.

The transformation moves the graph 3 units to the left and 4 units down.

D.

The transformation moves the graph 3 units to the right and 4 units up.

15.

What is the transformation that occurs to the equation y = 2x if it changes to y = -2x – 2?

A.

The graph is reflected across the y-axis and moves 2 units up.

B.

The graph is reflected across the x-axis and moves 2 units up.

C.

The graph is reflected across the x-axis and moves 2 units down.

D.

The graph is reflected across the y-axis and moves 2 units down.

B_W3 Quiz #2 Solving Exponential Equations (10 questions)

1. Determine the value for the "?" 4?=64

A.

16

B.

3

C.

4

D.

12

2. Solve 3x+1 = 37

A.

x = 3

B.

x = 7

C.

x = 6

D.

x = 1

3. Solve:

A.

x = -4

B.

x = -2

C.

x = -5

D.

x = -10

4. What is the next step in the problem below?

C:\Users\Sally.Riegler\Documents\Alg 2\Quizzes\exponential eq 1.PNG

A.

x - 2 = 32

B.

2 (x-2) = 32

C.

x - 2 = 5

5.

Solve for x: https://reactor.iqity.net/content.spr?contentId=e9648dfd-2f52-477b-b718-2bb9f1734912

A.

https://reactor.iqity.net/content.spr?contentId=fe2f61ad-22ef-42f8-9a85-0c76ca69c759

B.

https://reactor.iqity.net/content.spr?contentId=94a0beb7-b5bc-4fed-a736-40e521ca277a

C.

https://reactor.iqity.net/content.spr?contentId=64a584ba-eda0-4c53-9a7b-daa49023e3c4

D.

https://reactor.iqity.net/content.spr?contentId=f1a6cd0e-20db-4efa-b92d-86f3744a5a22

6. Solve: 52x−5=125

A.

x = 4

B.

x = -1

C.

x = 15

D.

x = 65

7. You invest $200 into an account that doubles your money every 3 years. How much money will you have in the account after 12 years?

A.

$1,600

B.

$800

C.

$3,200

D.

$6,400

8. You are given $5,000 that you put in a fund for 6 years that will pay 4% interest compounded each year. Using the formula, , which of the following equations shows the correct set up of the situation?

A.

f(t)=6⋅(1+5,000)0.04

B.

f(t)=5,000⋅(1+6)0.04

C.

f(t)=6⋅(1+0.04)5,000

D.

f(t)=5,000⋅(1+0.04)6

9. You invest $2,000 into an account that earns 1.5% interest compounded each year for 7 years. How much money will you have in the account at the end of 7 years? Round to the nearest dollar.

HINT: Use the formula, .

A.

$1,220,703

B.

$2,220

C.

$2,030

D.

$14,210

10. A town currently has a population of 34,728. The population of the town has been decreasing at a rate of 2.1% each year. If this trend continues, what will the population be at the end of 10 years? Round to the nearest whole number.

HINT: Use the formula f(t)=

A.

28,087

B.

16,537

C.

33,999