Evaluating Composite Functions and Graphs

This video tutorial explains how to evaluate composite functions using graphs. It covers the evaluation of F(G(4)), G(F(-3)), F(F(-1)), and G(G(4)) by identifying the outputs of functions from a graph and using them as inputs for other functions. The tutorial provides a step-by-step approach to understanding the process of function composition and highlights the importance of interpreting graphs accurately.

What is the first step in evaluating composite functions using a graph?

• Guess the output based on intuition.

• Ignore the graph and use algebra.

• Directly calculate the outer function.

• Find the output of the inner function.

What is the value of G at 4 according to the graph?

• 2

• -2

• 0

• 4

After finding G at 4, what is the next step in evaluating F composed of G at 4?

• Find G at 2

• Find G at -2

• Find F at -2

• Find F at 4

What type of function is G described as in the video?

• Exponential

• Linear with a positive slope

• Quadratic

• Linear with a negative slope

What type of function is F described as in the video?

• Linear

• Logarithmic

• Quadratic (parabola)

• Exponential

What is the final output of F composed of G at 4?

• 0

• 2

• -2

• 4

What is the value of F at -3 according to the graph?

• 3

• 0

• 5

• -3

What is the next step after finding F at -3 for evaluating G composed of F at -3?

• Find G at 5

• Find G at 3

• Find F at 3

• Find F at 5

What is the final output of G composed of F at -3?

• 0

• 5

• 3

• -3

What is the value of F at -1 according to the graph?

• 5

• 0

• -1

• 1