Understanding Function f and Solving for t

The video tutorial explains how to solve for the input value of a function f(t) = -2t + 5 when the output is 13. It involves defining the function, stating the problem, solving the equation -2t + 5 = 13, and explaining the solution where t equals -4.

What is the formula for the function f as described in the video?

• f(t) = 2t + 5

• f(t) = -2t + 5

• f(t) = 2t - 5

• f(t) = -2t - 5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What operation is performed first when using the function f(t) = -2t + 5?

• Multiply t by -2

• Add 5 to t

• Multiply t by 2

• Subtract 5 from t

Tags

CCSS.HSF.IF.A.2

What is the equation set up to find the input value for which f(t) equals 13?

• 2t + 5 = 13

• -2t - 5 = 13

• -2t + 5 = 13

• 2t - 5 = 13

Tags

CCSS.7.EE.B.4A

What is the result of subtracting 5 from both sides of the equation -2t + 5 = 13?

• 2t = 8

• -2t = 8

• -2t = 18

• 2t = 18

Tags

CCSS.6.EE.B.7

What is the value of t after dividing both sides of the equation -2t = 8 by -2?

• t = -4

• t = 8

• t = -8

• t = 4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the output of the function f when the input is -4?

• f(-4) = -5

• f(-4) = 5

• f(-4) = -13

• f(-4) = 13

Tags

CCSS.HSF.IF.A.2

Which of the following statements is true about the input value for which f(t) equals 13?

• The input value is -8

• The input value is 4

• The input value is -4

• The input value is 8

Tags

CCSS.HSF.IF.A.2