Evaluating Function Values and Properties

The video tutorial explains how to graph and analyze the function 2^(|x-2|) + 1. It begins by introducing the function and creating a table of values to aid in graphing. The tutorial highlights the symmetry of the function and demonstrates how to plot it on a graph. Key characteristics such as symmetry, end behavior, domain, and range are discussed. The video concludes with an analysis of the rate of change and a summary of the function's characteristics.

What type of function is being discussed in the video?

• Linear function

• Quadratic function

• Exponential function with absolute exponent

• Logarithmic function

What is the first step suggested to graph the function?

• Calculate the derivative

• Draw a line of symmetry

• Make a table of values

• Use a graphing calculator

What is the value of f(x) when x = 2?

• 1

• 2

• 3

• 4

What is the value of f(x) when x = 3?

• 2

• 5

• 3

• 4

What is the value of f(x) when x = 4?

• 5

• 6

• 7

• 8

What is the value of f(x) when x = 5?

• 7

• 8

• 9

• 10

What is the value of f(x) when x = 1?

• 5

• 4

• 3

• 2

What is the value of f(x) when x = 0?

• 3

• 6

• 4

• 5

What is the value of f(x) when x = -1?

• 9

• 10

• 8

• 7

What is the value of f(x) when x = -2?

• 7

• 5

• 3

• 9