Cram For Your Exponential and Logarithmic Function Test

What is the key difference between exponential growth and decay functions?

• Growth functions have a negative exponent, while decay functions have a positive exponent.

• Growth functions have a base greater than 1, while decay functions have a base between 0 and 1.

• Growth functions have a base less than 1, while decay functions have a base greater than 1.

• Growth functions decrease over time, while decay functions increase.

How does a vertical stretch affect the graph of an exponential function?

• It shifts the graph to the right.

• It compresses the graph horizontally.

• It stretches the graph vertically.

• It reflects the graph over the x-axis.

What is the domain of a basic exponential function?

• Integers only

• Negative real numbers only

• Positive real numbers only

• All real numbers

How are logarithmic functions related to exponential functions?

• They are inverses of each other.

• They are the same type of function.

• They have no relation.

• They are both linear functions.

What transformation occurs when a logarithmic function is multiplied by a negative number?

• The graph compresses horizontally.

• The graph stretches vertically.

• The graph reflects over the x-axis.

• The graph shifts up.

What is the one-to-one property used for in solving exponential equations?

• To equate the exponents when the bases are the same

• To determine the range of the function

• To find the domain of the function

• To simplify the function

How can you solve an exponential equation if the bases are not the same?

• Add the exponents

• Convert to logarithmic form

• Use the one-to-one property

• Multiply the bases

What is the formula for calculating simple interest?

• A = P(1 + rt)

• A = P(1 - r/n)^(nt)

• A = P(1 + r/n)^(nt)

• A = P(1 - rt)

How does compound interest differ from simple interest?

• Compound interest is calculated once a year.

• Compound interest is calculated on the initial principal only.

• Compound interest is calculated on the principal and accumulated interest.

• Compound interest is always lower than simple interest.

What does the 'n' represent in the compound interest formula?

• The number of years

• The principal amount

• The number of compounding periods per year

• The interest rate