Chapter 3 Review Pre-Calculus

Chapter 3 Review Pre-Calculus

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Multiple Choice

How has the function  $-5\left(3\right)^x$  been transformed from the parent function  $5\left(3\right)^x$  ?

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Multiple Choice

How has the function  $7\left(3\right)^x-5$  been transformed from the parent function  $7\left(3\right)^x$  ?

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Multiple Choice

For  $y=a\left(b\right)^x+k$  , how does adding a constant transform the parent function?

• Horizontal shift

• Vertical Shift

• Reflection over the x-axis

• Reflection over the y-axis

Multiple Choice

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions

• Quadratic Functions

• Polynomial Functions

Multiple Choice

What is the correct transformed equation for the graph?

• y = log(x - 4)

• y = log(x) - 4

• y = log(x + 4)

• y = log(x) + 4

Multiple Choice

What is the correct transformed equation for the graph?

• y = log(x - 4)

• y = log(x) - 4

• y = log(x + 4)

• y = log(x) + 4

Multiple Choice

Expand

• log₇x + log₇y + 4log₇z

• 4log₇x + 4log₇y + 4log₇z

• log₇x - log₇y - 4log₇z

• 4log₇x - 4log₇y - 4log₇z

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Using the change of base rule, what is this logarithm equivalent to?

• A

• B

• C

• D

Multiple Choice

Using the change of base rule, what is this logarithm equivalent to?

• A

• B

• C

• D

Multiple Choice

3^{2x – 6} = 81

• x = log 4

• x = 5

• x = 4

• x = -1

Multiple Choice

log₆(2x + 3) = 3

• x = 106.5

• x = 100

• x = 16

• x = 50

Multiple Choice

log₂(x + 2) + log₂x = 3

• -4, 2

• -2, 4

• 2 ; -4 is extraneous

• 1 ; -3 is extraneous

Multiple Choice

Solve.

e^4x=12

• 2.48

• 9.94

• 0.62

• 3

Multiple Choice

Solve for x.

e^2x-e^x-2 = 0

• x = 0

• x = ln 2, ln -1

• x = ln 2, ln 0

• x = ln2

Multiple Choice

How much money would need to be invested today if you want $40,000 in 18 years at 4.5% if compounded continuously.

• $19,923.22

• $17,794.32

• $89,916.32

• $1 Bob