Evaluating Functions Through Equations, Graphs, and Tables

The video tutorial covers evaluating functions using different methods, including numerical substitution, variable substitution, graph-based evaluation, and table-based evaluation. It emphasizes the importance of following the order of operations and provides detailed examples for each method. The tutorial also highlights common mistakes and offers tips for accurate function evaluation.

What is the result of evaluating the function f(x) = x^2 + 3x + 5 at x = 2?

• 25

• 20

• 15

• 10

When evaluating f(x) = x^2 + 3x + 5 at x = 0, what is the result?

• 5

• 3

• 8

• 0

What is the value of f(-1) for the function f(x) = x^2 + 3x + 5?

• 2

• 3

• -1

• 0

How do you evaluate f(2x) for the function f(x) = x^2 + 3x + 5?

• 4x^2 + 6x + 5

• 2x^2 + 3x + 5

• 2x^2 + 6x + 5

• 4x^2 + 3x + 5

What is the result of evaluating f(-a) for the function f(x) = x^2 + 3x + 5?

• -a^2 + 3a + 5

• a^2 - 3a + 5

• a^2 + 3a + 5

• -a^2 - 3a + 5

When evaluating f(x+4) for the function f(x) = x^2 + 3x + 5, what is the correct expanded form?

• x^2 + 8x + 16 + 3x + 12

• x^2 + 8x + 16 + 3x + 12 + 5

• x^2 + 8x + 16 + 3x + 4 + 5

• x^2 + 8x + 16 + 3x + 5

How do you find the value of f(2) using a graph?

• Find 2 on the y-axis

• Find 2 on the x-axis and see where the function meets it

• Find 2 on the x-axis and see where the function meets the y-axis

• Find 2 on the y-axis and see where the function meets the x-axis

What is the value of f(0) when using a graph?

• 0

• 1.5

• -1.5

• 2

When using a table, what is the value of f(2) if the table shows 2 corresponds to 6?

• 8

• 6

• 4

• 2

If a table shows that 8 corresponds to 64, what is the value of f(8)?

• 64

• 32

• 16

• 8