Exponential functions

Front

What is the value of b^0?

Back

1

Front

Classify the model A=1200(0.85)^6 as Exponential GROWTH or DECAY.

Back

Decay

Front

What is the common ratio for the function f(x) = 25 (4)^x?

Back

4

Front

Is the function A=1200(0.85)^6 exponential growth or decay?

Back

Decay

Front

What is the y-intercept of the function f(x) = 3x + 2?

Back

3

Front

Define an exponential function.

Back

A function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and b ≠ 1.

Front

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

Back

Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to rapid increases.

Front

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

Back

Exponential decay occurs when a quantity decreases at a rate proportional to its current value, leading to rapid decreases.

Front

What is the general form of an exponential decay function?

Back

f(x) = a * (1 - r)^x, where 0 < r < 1.

Front

What is the base of an exponential function?

Back

The base (b) is the constant that is raised to the power of x in the function f(x) = a * b^x.