The video tutorial covers exponential functions, explaining their characteristics, such as growth and decay, and introduces the concept of asymptotes. It provides instructions on graphing these functions using a calculator and discusses the domain and range. The tutorial includes practice problems to reinforce understanding of exponential growth and decay.

What is the general form of an exponential function?

• y = a + b^x

• y = a * b^x

• y = a / b^x

• y = a - b^x

Tags

CCSS.HSF.LE.A.2

If the base of an exponential function is greater than 1, what type of growth does it represent?

• Exponential decay

• Linear growth

• Logarithmic growth

• Exponential growth

Tags

CCSS.HSF-IF.C.8B

What is an asymptote in the context of exponential functions?

• A line that the graph intersects at multiple points

• A point where the graph crosses the x-axis

• A line that the graph approaches but never touches

• A point where the graph crosses the y-axis

Tags

CCSS.HSF-IF.C.7E

How do you classify the function y = 2^x?

• Linear growth

• Logarithmic growth

• Exponential decay

• Exponential growth

Tags

CCSS.HSF-IF.C.8B

Which of the following values would you typically use to create a table of values for graphing?

• -3, -2, -1, 0, 1

• -2, -1, 0, 1, 2

• 1, 2, 3, 4, 5

• 0, 1, 2, 3, 4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the y-intercept of the function y = 2^x?

• (0, 0)

• (0, 1)

• (1, 0)

• (1, 2)

Tags

CCSS.HSF-IF.C.7E

What is the domain of most exponential functions?

• All negative numbers

• All real numbers

• All positive numbers

• All integers

For the function y = 3^(x-1), what is the classification?

• Exponential decay

• Logarithmic growth

• Linear growth

• Exponential growth

Tags

CCSS.HSF-IF.C.8B

What is the range of the function y = 2^x?

• All integers

• All negative numbers

• All real numbers

• All positive numbers

What is the asymptote of the function y = 2^x?

• y = 1

• y = 0

• x = 1

• x = 0

Tags

CCSS.HSF-IF.C.7E