Function Evaluation and Graph Interpretation

This tutorial covers function composition and operations, focusing on graphical applications. It includes examples of solving function problems using graphs, such as multiplying function values and composing functions. The tutorial demonstrates how to find values from graphs and use them in function operations, including double compositions and compositions with different functions.

What is the main focus of this tutorial?

• Introduction to calculus

• Algebraic manipulation of functions

• Graphical applications of function composition and operations

• Solving linear equations

In problem A, what is the value of f(1) from the graph?

• 2

• 5

• 3

• 4

In problem A, what is the value of g(2) from the graph?

• 5

• 4

• 3

• 2

What is the result of f(1) multiplied by g(2) in problem A?

• 20

• 12

• 8

• 16

In problem B, what is the value of g(-1) from the graph?

• 3

• 2

• 1

• 0

In problem B, what is the value of f(g(-1))?

• 3

• 2

• 5

• 4

What does the y-axis represent in the graph?

• The intercept of the graph

• The variable x

• The function values f(x) and g(x)

• The slope of the graph

In problem C, what is the value of f(4) from the graph?

• 5

• 6

• 8

• 7

In problem C, what is the extrapolated value of f(7)?

• 11

• 10.5

• 9

• 10

What is the main challenge in problem C?

• Identifying the x-axis

• Solving a quadratic equation

• Extrapolating the graph

• Finding the correct function