Exponential and Logarithmic Functions

What is the range of this function?

• {yly $\ge$ 6}

• {yly $>$ 6}

• {yly $\le$ 6}

• all real numbers

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the range of this exponential function?
 $y=-3\cdot5^{\left(x+3\right)\ }$  

•  $\left(-\infty,\ 0\right)$  

• all real numbers

•  $\left(-\infty,3\right)$  

•  $\left(0,\infty\right)$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.B.5

Write the logarithmic equation in exponential form.
 $-2\approx\ln\left(0.135\right)$  

•  $-2^{0.135}=e$  

•  $e^{-2}=0.135$  

•  $e^{0.135}=-2$  

•  $-2^e=0.135$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Write the exponential equation in logarithmic form.
 $\left(\frac{1}{9}\right)^{-1}=9$  

•  $\log_{-1}\left(9\right)=\frac{1}{9}$  

•  $\log_{\frac{1}{9}}\left(9\right)=-1$  

•  $\log_{10}\left(9\right)=\frac{1}{9}$  

•  $\log_9\left(-1\right)=\frac{1}{9}$  

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

A town doubles its size every 33 years. If the population is currently 6,000, what will the population be in 66 years?

• 12,000

• 24,000

• 198,000

• 396,000

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Condos in Summerfield go up in value by 10% each year. If the Farrell family's condo is now worth $333,600, what will it be worth in 9 years?

• $786,611.35

• $786,611.34

• $129,243.47

• $129,243.48

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Paula opened a savings account and deposited $200.00. The account earns 4% interest, compounded annually. If she wants to use the money to buy a new bicycle in 3 years, how much will she be able to spend on the bike?

• $548.80

• $208

• $224.98

• $224.97

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Shawna opened a savings account 10 years ago. The account earns 13% interest, compounded monthly. If the current balance is $1,000.00, how much did she deposit initially?

• $274.44

• $274.45

• $3,643.73

• $3,643.74

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Solve for x.
 $3\log x=6$  

• 10

• 100

• 1000

• 10000

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x. Round to the nearest ten thousandth.
 $4^{\left(x-3\right)}=9$  

• 1.17

• 1.18

• 4.58

• 4.59

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4