Graphing Exponential Functions in Algebra II

The video tutorial explains how to graph the function y = 5^x by calculating y values for various x values, including negative, zero, and positive integers. It demonstrates plotting these points on a graph and analyzes the behavior of the exponential function, highlighting its rapid increase for positive x values and its approach towards zero for negative x values.

What is the value of y when x is -2?

• 25

• 5

• 1/5

• 1/25

What does y equal when x is 0?

• 0

• 1

• 5

• 25

At x=1, what is the value of y?

• 5

• 1/25

• 25

• 1/5

What is the y value when x equals 2?

• 25

• 5

• 1/5

• 1/25

How is the graph's curve near x=0?

• Steeply rising

• Close to the y-axis

• Flat

• Close to the x-axis

What happens to the y values as x becomes more negative?

• Becomes negative

• Approaches infinity

• Approaches 0

• Remains constant

What is the shape of the graph as x increases?

• Logarithmic

• Exponential

• Quadratic

• Linear

What does the graph resemble for large positive x values?

• A straight line

• A circle

• A parabola

• A hockey stick

What is the behavior of the graph for extremely large negative x values?

• Approaches 1

• Becomes negative

• Becomes infinite

• Approaches 0

What is the value of y when x is a large positive number?

• Approaches 0

• Approaches 1

• Remains constant

• Becomes extremely large