Understanding Linear Functions

The video tutorial explains how to evaluate a linear function, f(x) = -2x + 5, at different points: f(0), f(2), f(4), and f(-1). For each evaluation, the process involves substituting the x-value into the function, simplifying the expression, and interpreting the result as an ordered pair. The video also demonstrates how these points are represented graphically on the function's line, emphasizing the connection between algebraic calculations and their graphical interpretations.

What is the value of f(0) for the function f(x) = -2x + 5?

• 5

• 0

• 2

• -5

How can the function value f(0) = 5 be represented as an ordered pair?

• (-5, 0)

• (0, -5)

• (0, 5)

• (5, 0)

What is the y-intercept of the function f(x) = -2x + 5?

• (0, 5)

• (5, 0)

• (0, -2)

• (-2, 0)

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

• 1

• -1

• 3

• -3

How is the function value f(2) = 1 represented as an ordered pair?

• (2, 1)

• (1, 2)

• (2, -1)

• (-2, 1)

What is the value of f(4) for the function f(x) = -2x + 5?

• 1

• 3

• -1

• -3

How is the function value f(4) = -3 represented as an ordered pair?

• (4, -3)

• (-3, 4)

• (3, -4)

• (-4, 3)

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

• 5

• -7

• -5

• 7

How is the function value f(-1) = 7 represented as an ordered pair?

• (1, -7)

• (7, -1)

• (-7, 1)

• (-1, 7)

Which of the following points is on the graph of f(x) = -2x + 5?

• (0, 5)

• (2, 3)

• (4, 1)

• (-1, -7)