Understanding Exponential Functions Concepts

This video tutorial teaches how to graph exponential functions, using two examples: y = 2^x + 3 and y = 1/4^x - 2. It covers identifying growth or decay, transformations, and finding asymptotes. The video also demonstrates using Desmos to graph these functions and fill out tables of values.

What is the parent function of y = 2^x + 3?

• y = 2^x

• y = x^2

• y = 3^x

• y = x + 3

How do you determine if an exponential function is a growth?

• If the base is equal to one

• If the base is less than one

• If the base is greater than one

• If the base is negative

What transformation occurs with a plus three at the end of the function y = 2^x + 3?

• Horizontal shift left

• Reflection over x-axis

• Vertical shift up

• Horizontal shift right

What is the asymptote of the function y = 2^x + 3?

• y = 0

• y = 2

• y = 3

• y = x

Which tool is recommended for graphing exponential functions and filling out tables?

• Wolfram Alpha

• Desmos

• Microsoft Excel

• Google Sheets

What is the parent function of y = 1/4^x - 2?

• y = 1/4^x

• y = 4^x

• y = 1/x^4

• y = x^4

How do you determine if the function y = 1/4^x is a decay?

• If the base is greater than one

• If the base is negative

• If the base is equal to one

• If the base is less than one

What transformation occurs with x - 2 in the exponent of y = 1/4^(x-2)?

• Horizontal shift left

• Vertical shift up

• Horizontal shift right

• Reflection over y-axis

What is the asymptote of the function y = 1/4^x - 2?

• y = 0

• y = -2

• y = x

• y = 2

Why is it important to use parentheses in the exponent when using Desmos?

• To avoid syntax errors

• To change the base of the function

• To make the graph look nicer

• To ensure the exponent is calculated correctly