Understanding exponential and logarithmic functions

Match the following

• Jenna is training for a marathon. She starts by running 1.5 miles. She increases her distance by 2%

• Exponential Growth

• Mike bought a truck for $55,000. He knows the truck will lose value at a rate of 16% each year.

• Exponential Decay

• Every week, Jonathon exercises for 1 hour.

• Neither

Which of the following is NOT an equivalent expressions to: 5*5*5*5*5*5

• 15625

What is the parent function?

• none of these

• Yes

• No

What type of function is y = 2^x ?

• Logarithmic

• Linear

• Quadratic

• Exponential

An exponential function is defined with the formula of ________________?

• $f\left(x\right)=a^x$

• $f\left(x\right)=x^a$

• $ax=f^x$

What's the exponential form of 12x12x12?

• 12³

• Twelve to the 3rd power.

• 1728

• None of these answers.

Identify the common ratio (b-value) of the function:

f(x)=2(4)^x

• 2

• 4

• 1

• 8

Mathematical Equivalence

ON

Classify the following function as a growth or decay.

• growth

• decay

• neither

• linear