Exponential Key Features

Front

What is the range of an exponential function?

Back

The range is the set of all real numbers greater than 0.

Front

What is the asymptote of the graph of an exponential function?

Back

The asymptote is y = 0.

Front

What is the domain of an exponential function?

Back

The domain is (-∞, ∞).

Front

What is the x-intercept of an exponential function?

Back

There is no x-intercept.

Front

Given y=3^x, what is the y-intercept?

Back

The y-intercept is (0, 1).

Front

What does it mean for a function to be exponential?

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 is the general shape of the graph of an exponential function?

Back

The graph of an exponential function rises rapidly to the right and approaches the x-axis (y=0) as it goes to the left.

Front

How does changing the base of an exponential function affect its graph?

Back

Changing the base affects the rate of growth; a larger base results in a steeper graph.

Front

What is the effect of a negative exponent in an exponential function?

Back

A negative exponent indicates a reciprocal; for example, b^(-x) = 1/(b^x).

Front

What is the significance of the y-intercept in an exponential function?

Back

The y-intercept represents the value of the function when x = 0.