Review of Exponential Functions

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a(b^x), where 'a' is a constant, 'b' is a positive real number, and 'x' is the exponent.

Front

What does it mean for a function to exhibit exponential growth?

Back

Exponential growth occurs when a quantity increases by a consistent percentage over equal time intervals, represented by a function where the base 'b' is greater than 1.

Front

What is the y-intercept of an exponential function?

Back

The y-intercept of an exponential function f(x) = a(b^x) is the value of 'a', which represents the initial value when x = 0.

Front

How do you identify an exponential decay function?

Back

An exponential decay function is characterized by a base 'b' that is between 0 and 1, indicating that the quantity decreases over time.

Front

What is the formula to calculate percentage?

Back

Percentage = (Part/Whole) x 100.

Front

If f(x) = 2(4^x), what is f(0)?

Back

f(0) = 2(4^0) = 2(1) = 2.

Front

Convert 1/8 to decimal and percent.

Back

1/8 = 0.125 and 1/8 = 12.5%.

Front

What is the relationship between fractions, decimals, and percentages?

Back

Fractions can be converted to decimals by division, and decimals can be converted to percentages by multiplying by 100.

Front

How do you find the grade percentage from correct answers?

Back

Grade Percentage = (Number of Correct Answers / Total Questions) x 100.

Front

What is the formula for exponential growth?

Back

The formula for exponential growth is f(t) = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate, and 't' is time.