Function Evaluation and Solving for X

The video tutorial explains how to evaluate function values using a table and solve for input values given a function output. It covers the basics of function notation, emphasizing the relationship between inputs (X) and outputs (Y). The tutorial provides examples of evaluating specific function values and solving for X when given a Y value, using a table to find corresponding values.

What does F of X represent in function notation?

• The derivative of the function

• The input of the function

• The slope of the function

• The output of the function

If F(-3) = 7, what are the coordinates of the point on the graph?

• (-7, 3)

• (-3, 7)

• (7, -3)

• (3, -7)

What is the function value of F(1) according to the table?

• -1

• 1

• 3

• -3

When given F(X) = 4, what is the corresponding X value?

• 2

• 0

• 4

• -4

If F(X) = 4, what does this tell us about the function?

• The input is 4

• The slope is 4

• The output is 4

• The derivative is 4

What is the X value when F(X) = -12?

• 12

• -12

• 2

• -2

In the example where F(X) = -12, what is the Y value?

• -12

• 12

• 2

• -2

What is the main purpose of using a table in function evaluation?

• To determine the derivative

• To find the slope

• To calculate the integral

• To match X values with their corresponding Y values

What is the relationship between X and Y in function notation?

• X is the output and Y is the input

• X is the input and Y is the output

• Both X and Y are outputs

• Both X and Y are inputs

What is the significance of the point (-3, 7) in the context of the function?

• It represents the maximum value of the function

• It is a point where the function is undefined

• It is a point on the graph of the function

• It represents the slope of the function