Graphing Exponential Functions: Key Concepts and Techniques

What is the defining characteristic of an exponential function?

• The y is in the exponent.

• The function is a straight line.

• The function has a constant rate of change.

• The x is in the exponent.

How do you handle negative exponents when calculating powers?

• Multiply the base by the exponent.

• Subtract the exponent from the base.

• Move the base to the denominator.

• Add the exponent to the base.

What is the value of any number raised to the zero power?

• Negative one

• Zero

• The number itself

• One

When graphing exponential functions, what is the y-intercept?

• The point where the graph crosses the y-axis.

• The highest point on the graph.

• The point where the graph crosses the x-axis.

• The lowest point on the graph.

What does an exponential growth graph look like?

• A straight line going down.

• A curve that decreases rapidly.

• A curve that increases rapidly.

• A straight line going up.

How can you identify exponential behavior in a data set?

• The y-values add by the same number each time.

• The x-values multiply or divide by the same number each time.

• The y-values subtract by the same number each time.

• The y-values multiply or divide by the same number each time.

What is the main difference between exponential growth and exponential decay?

• Growth remains constant, decay fluctuates.

• Growth and decay both increase rapidly.

• Growth decreases rapidly, decay increases rapidly.

• Growth increases rapidly, decay decreases rapidly.

In the penny-doubling example, what pattern does the number of pennies follow?

• Doubling the number of pennies each day.

• Halving the number of pennies each day.

• Adding one penny each day.

• Subtracting one penny each day.

How much money will Tatiana have on the 12th day if her grandfather doubles the amount he gives her every day?

• $20.48

• $2048.00

• $204.80

• $2.48

What is the exponential function that models the penny-doubling example?

• n*2

• n^2

• 2^n

• 2+n