Understanding Linear Functions

The video tutorial explains how to evaluate the function F(x) = 2x - 3 for specific inputs and outputs. It demonstrates evaluating F(-2) by substituting -2 into the function, resulting in an output of -7. The tutorial also shows how to find the input value when the function output is 5, solving the equation 5 = 2x - 3 to find x = 4. Graphical representations are used to verify these solutions, illustrating the function's slope and y-intercept. The video concludes with a summary of the key points covered.

What is the function f(x) used in the video?

• f(x) = 3x + 2

• f(x) = 2x - 3

• f(x) = 2x + 3

• f(x) = x^2 - 3

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CCSS.HSF.IF.A.2

What is the output when the input is -2 for the function f(x) = 2x - 3?

• 1

• -5

• 0

• -7

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the relationship between input and output in function notation?

• Input is always greater than output

• Output is always greater than input

• Input equals output

• Output is a function of input

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CCSS.HSF.IF.A.2

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

• x = 2

• x = 4

• x = 5

• x = 3

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CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the y-intercept of the function f(x) = 2x - 3?

• 3

• 0

• -3

• 2

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CCSS.8.EE.B.5

What is the slope of the function f(x) = 2x - 3?

• 1

• 2

• 3

• 4

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Which point corresponds to the input -2 for the function f(x) = 2x - 3?

• (-2, 0)

• (-2, 1)

• (-2, -7)

• (-2, -5)

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Which point corresponds to the output 5 for the function f(x) = 2x - 3?

• (4, 5)

• (3, 5)

• (2, 5)

• (1, 5)

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CCSS.8.F.A.1

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What does the point (-2, -7) represent on the graph of f(x) = 2x - 3?

• The x-intercept

• The y-intercept

• The point where output is -7

• The point where input is -2

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CCSS.HSF.IF.A.1

What does the point (4, 5) represent on the graph of f(x) = 2x - 3?

• The point where output is 5

• The point where input is 4

• The x-intercept

• The y-intercept

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CCSS.HSF.IF.A.1