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 the base (a positive real number), and 'x' is the exponent.

Front

What does the domain of a function represent?

Back

The domain of a function represents all possible x values that can be input into the function.

Front

What does the range of a function represent?

Back

The range of a function represents all possible y values that can be output from the function.

Front

What is an x-intercept?

Back

An x-intercept is the point where the graph of a function crosses the x-axis, represented as (x, 0).

Front

What is a y-intercept?

Back

A y-intercept is the point where the graph of a function crosses the y-axis, represented as (0, y).

Front

How do you find the x-intercept of a function?

Back

To find the x-intercept, set the function equal to zero and solve for x.

Front

How do you find the y-intercept of a function?

Back

To find the y-intercept, evaluate the function at x = 0.

Front

What is the general shape of an exponential growth function?

Back

An exponential growth function increases rapidly as x increases, starting from a point close to zero.

Front

What is the general shape of an exponential decay function?

Back

An exponential decay function decreases rapidly as x increases, approaching zero but never reaching it.

Front

What is the significance of the base 'b' in an exponential function?

Back

The base 'b' determines the rate of growth or decay; if b > 1, the function grows; if 0 < b < 1, the function decays.