Exploring Adding and Subtracting Rational Expressions

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

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

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

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

• Linear growth

• Logarithmic growth

• Exponential decay

• Exponential growth

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

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

• (0, 0)

• (0, 1)

• (1, 0)

• (1, 2)

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

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