A1 Practice 7.5 2023-2024

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 is the general shape of an exponential growth graph?

Back

The graph of an exponential growth function rises sharply as x increases, starting from a low value and approaching infinity.

Front

What is the general shape of an exponential decay graph?

Back

The graph of an exponential decay function decreases rapidly at first and then levels off, approaching zero but never actually reaching it.

Front

What is the domain of an exponential function?

Back

The domain of an exponential function is all real numbers.

Front

What is the range of an exponential growth function?

Back

The range of an exponential growth function is all positive real numbers (y > 0).

Front

What is the range of an exponential decay function?

Back

The range of an exponential decay function is all positive real numbers (y > 0).

Front

How can you identify an exponential growth function from a graph?

Back

An exponential growth function can be identified by its upward-sloping curve that increases rapidly as x increases.

Front

How can you identify an exponential decay function from a graph?

Back

An exponential decay function can be identified by its downward-sloping curve that decreases rapidly as x increases.

Front

What is the y-intercept of an exponential function?

Back

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

Front

What does the base 'b' represent in an exponential function?

Back

The base 'b' in an exponential function determines the rate of growth or decay; if b > 1, the function represents growth, and if 0 < b < 1, it represents decay.