Part 1. Graphing Exponential Functions Practice

Front

What is the Y-intercept of an exponential function?

Back

The Y-intercept of an exponential function is the point where the graph intersects the Y-axis, which occurs when X=0.

Front

How do you find the Y-intercept of an exponential function?

Back

To find the Y-intercept, set X=0 in the function and solve for Y.

Front

What does an exponential growth function look like?

Back

An exponential growth function has a base greater than 1, resulting in a graph that rises as X increases.

Front

What does an exponential decay function look like?

Back

An exponential decay function has a base between 0 and 1, resulting in a graph that falls as X increases.

Front

What is the general form of an exponential function?

Back

The general form of an exponential function is Y = a * b^x, where 'a' is a constant and 'b' is the base.

Front

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

Back

The base determines the rate of growth or decay; a base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

Front

What is an asymptote in the context of exponential functions?

Back

An asymptote is a line that the graph approaches but never touches; for exponential functions, the horizontal asymptote is typically the line Y = k, where k is a constant.

Front

How can you identify if an exponential function represents growth or decay?

Back

If the base of the exponential function is greater than 1, it represents growth; if the base is between 0 and 1, it represents decay.

Front

What is the Y-intercept of the function Y = 3^x - 5?

Back

The Y-intercept is (0, -4), found by substituting X=0 into the function.

Front

What is the Y-intercept of the function Y = 6(2/7)^x?

Back

The Y-intercept is (0, 6), found by substituting X=0 into the function.