Exponential Functions and Graphs

The video tutorial covers key attributes of exponential functions, including the y-intercept and asymptote. It explains how to graph these functions and identify asymptotes using a calculator. The tutorial also models real-world scenarios, such as salary growth and business expansion, using exponential functions.

What is the y-intercept of an exponential function?

• The point where the graph crosses the x-axis

• The highest point on the graph

• The point where the graph crosses the y-axis

• The lowest point on the graph

In Algebra 1, what is the asymptote of an exponential function?

• x = 0

• y = 0

• y = 1

• x = 1

What is true about the asymptote in an exponential decay graph?

• It is a diagonal line

• It is a curve

• It is a horizontal line at y = 0

• It is a vertical line

Which statement is true about the graph of an exponential function?

• The graph crosses the y-axis at 0, 2/9

• The graph has an asymptote at y = 1/3

• The graph has a vertical asymptote

• The graph decreases from left to right

What is the starting point of the salary graph in the real-world problem?

• $50,000

• $5,000

• $100,000

• $29,000

How is the salary increase rate represented in the exponential function?

• 1 + 0.62

• 1 - 0.62

• 1 + 0.062

• 1 - 0.062

In the coffee company problem, how many stores were opened by the end of 1992?

• 200

• 500

• 400

• 300

What is the annual increase rate of the coffee company's stores?

• 10%

• 15%

• 20%

• 25%

Which statement is false about the coffee company's store openings?

• The company had 400 stores by the end of 1992

• The company opened 250 stores each year

• The number of stores increased by 25% each year

• The company opened 100 stores in one year

What type of graph represents a constant rate of change?

• Cubic graph

• Exponential graph

• Linear graph

• Quadratic graph