13. Stations Constructed Response Day

Multiple Choice

Which of the following is an exponential function?

• y = x²

• f(x) = 3x³

• y = x³

• f(x) = 3^x

Multiple Choice

What is the starting amount in the problem below?

f(t) = 300(1.05)^t

• 300

• 1.05

• t

• y

Multiple Choice

Identify the asymptote of the function $$-3\left(3\right)^x+4$$  

• y = -3

• y = 1

• y = 4

Multiple Choice

Determine the range for the function

f(x) = 3(2)^x-4 + 5

• [5,∞)

• (5,∞)

• [4,∞)

• (4,∞)

Multiple Choice

The parent function  $$f\left(x\right)=3^x$$   is shown in red and is translated. What is the equation of the green graph?

• $$g\left(x\right)=3^x+2$$  

• $$g\left(x\right)=3^x-2$$  

• $$g\left(x\right)=3^{x-2}$$  

• $$g\left(x\right)=3^{x+2}$$  

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

Describe this function.

• Exponential Growth

• Exponential Decay

• Linear Positive

Multiple Choice

Describe this function.

• Exponential Growth

• Exponential Decay

• Quadratic

Multiple Choice

Describe the function.

• Exponential Growth

• Exponential Deacy

• Positive Linear

Multiple Choice

Describe the function.

• Exponential Growth

• Exponential Decay

• Quadratic

Multiple Choice

Which function models this table?

• $$f\left(x\right)=2\cdot4^x$$

• $$f\left(x\right)=4^x$$

• $$f\left(x\right)=4\cdot2^x$$

• $$f\left(x\right)=8^x$$

Multiple Choice

Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.

• $12712.31
• $12,749.30
• $12,657.59
• $12550.84

Match

Match the following:

• Principal

• Rate

• Time

Simple Interest

Compound Interest

P (in both forumals)

r (in both formulas)

t (in both formulas)

• Simple Interest

• Compound Interest

• P (in both forumals)

• r (in both formulas)

• t (in both formulas)

Multiple Choice

Steve deposited $5,000 in a savings account that pays 4% interest compounded annually.

Which equation could be used to find the value of the account after 3 years?

• A = 5,000(1 + 4)³

• A = 5,000(1 + 0.04)³

• A = 5,000(1 + 0.4) x 3

• A = 5,000(0.04)³

Multiple Choice

Change the following exponential equation into a log equation:

$$2^5=32$$  

• $$\log_25=32$$  

• $$\log_{32}5=2$$  

• $$\log_232=5$$  

• I hate logs. Nobody likes them.

Multiple Choice

find the answer to the following expression:

$$\log_5625$$  

• 125

• 5

• 7

• 4

Multiple Choice

Write as a single logarithm:

log(30)-log(6)

• -6log(30)

• log(24)

• log(-24)

• log(5)

Multiple Choice

log_AB=

• $$\log A+\log B$$
  

• $$\log\left(\frac{B}{A}\right)$$
  

• $$\frac{\log B}{\log A}$$

• $$\frac{\log A}{\log B}$$