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Exponents and Logs Review

Total questions: 10

Worksheet time: 14mins

Name
Class
Date
1.

What is the asymptote for the following equation?


 y=log⁡(x+3)−2y=\log\left(x+3\right)-2  

a)

y = 3

b)

x = 3

c)

y = -2

d)

x = -3

2.

 y=2(x−1)+3y=2^{\left(x-1\right)}+3  

What is the asymptote of the following equation

a)

y = 3

b)

x = 3

c)

x = 1

d)

y = -1

3.

 f(x)=log⁡(x) + 1f\left(x\right)=\log\left(x\right)\ +\ 1  

What is the DOMAIN of the following function?

a)

 (−1, ∞)\left(-1,\ \infty\right)  

b)

 (1, ∞)\left(1,\ \infty\right)  

c)

 (−∞, ∞)\left(-\infty,\ \infty\right)  

d)

 (0, ∞)\left(0,\ \infty\right)  

4.

 y = 2(x+1)−6y\ =\ 2^{\left(x+1\right)}-6  

What is the RANGE?

a)

 (−∞, ∞)\left(-\infty,\ \infty\right)  

b)

 (6, ∞)\left(6,\ \infty\right)  

c)

 (−6, ∞)\left(-6,\ \infty\right)  

d)

 (−1, ∞)\left(-1,\ \infty\right)  

5.

 f(x)=(12)x−1f\left(x\right)=\left(\frac{1}{2}\right)^x-1  

Finish this end behavior for as x →∞, f(x)→ ?as\ x\ \rightarrow\infty,\ f\left(x\right)\rightarrow\ ?  

a)

 ∞\infty  

b)

 −1-1  

c)

 −∞-\infty  

d)

 00  

6.

What is the increasing interval for the following function?

a)

(−∞, ∞)\left(-\infty,\ \infty\right)

b)

NoneNone

c)

(2, ∞)\left(2,\ \infty\right)

d)

(3, ∞)\left(3,\ \infty\right)

7.

Match the equation to a graph

y=2x+4y=2^x+4

a)

b)

c)

d)

8.

Match the equation to the proper graph below

f(x)=log⁡(x+2)f\left(x\right)=\log\left(x+2\right)

a)

b)

c)

d)

9.

What is the end behavior for the following: f(x)=(12)x−3f\left(x\right)=\left(\frac{1}{2}\right)^x-3

As x --> oo f(x) --> ?

a)

-00

b)

00

c)

3

d)

-3

10.

Describe the Horizontal transition for the function

f(x) = log (x + 5) - 6

a)

right 5

b)

left 5

c)

down 5

d)

left 6