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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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)

Tags

CCSS.HSF.IF.A.2

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

• 1

• -1

• 3

• -3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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

• (2, 1)

• (1, 2)

• (2, -1)

• (-2, 1)

Tags

CCSS.HSF.IF.A.2

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

• 1

• 3

• -1

• -3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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

• (4, -3)

• (-3, 4)

• (3, -4)

• (-4, 3)

Tags

CCSS.HSF.IF.A.2

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

• 5

• -7

• -5

• 7

Tags

CCSS.HSF.IF.A.1

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

• (1, -7)

• (7, -1)

• (-7, 1)

• (-1, 7)

Tags

CCSS.HSF.IF.A.1

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

• (0, 5)

• (2, 3)

• (4, 1)

• (-1, -7)

Tags

CCSS.HSF.IF.A.1