Exponential and Logarithmic Functions

• f(x) = 2(2.3)^x - 2

• f(x) = 4(2.3)^x

• f(x) = 4(2.3)^x + 2

• f(x) = 5(2.3)^x - 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Gasoline costs $1.99 per gallon. If the price per hallon increases and average of 6% per month, which function models the exponential growth of the pricing?

• $f\left(x\right)=1.06\left(1.99\right)^x$

• $f\left(x\right)=1.99\left(1.06\right)^x$

• $1.99\left(0.06\right)^x$

• $f\left(x\right)=\frac{1.99}{1.06^x}$

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Which functions is a model of exponential growth?

• f(x) = 3(.99)^x

• f(x) = .99(3)^x

• f(x) = .99(3)^-x

• f(x) = .99(1 - 0.3)^x

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

What is the equation of the horizontal asymptote of the function

y = 2(0.3)^{x - 1} - 4?

• y = -4

• y = 2

• y = 0.3

• y = 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

Which function does not model exponential decay?

• y = 3/4 e^-3x

• y = 4/3 e ^-3x

• y = 4 e^-3x

• y = 4 e^3x

Tags

CCSS.HSF.LE.A.1

what is the value of  $-2e^{3.2}$  rounded to the nearest thousandths? 

• -77.967

• -49.065

• -0.082

• -0.081

Which expression is equivalent to x?

• $\log x$

• $\log2^x$

• $\log10^x$

• $\log100^x$

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Which of the following is an equivalent expression for  $2\log_43+\log_42?$  

•  $2\log_46$  

•  $\log_46$  

•  $\log_412$  

•  $\log_418$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Which of the following is not equivalent to  $\log_58?$  

•  $\log_5\left(\frac{16}{2}\right)$  

•  $2\log_54$  

•  $3\log_52$  

•  $\log_54+\log_52$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

What is the simplified exression of  $\frac{7\left(e^{3x}\right)^2}{14e^x}$  

•  $\frac{1}{2}e^{5x}$  

•  $\frac{1}{2}e^{8x}$  

•  $\frac{1}{2}e^{9x^2}-x$  

•  $\frac{7}{2}e^{8x}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3