NC Math 3 Module 1 Review

Answer explanation

When we add functions together, we can just combine like terms.

Tags

CCSS.HSF-BF.A.1B

Answer explanation

Remember to distribute the negative to both terms when you are subtracting g(x) from f(x).

Tags

CCSS.HSF-BF.A.1B

Answer explanation

Algebraic Steps to Finding the Inverse

Step 1: Replace f(x) with y.

Step 2: Solve for the new y.

Step 3: Replace y with the inverse function notation.

Tags

CCSS.HSF-BF.B.4A

Answer explanation

Graphs of inverse functions always reflect perfectly over y=x.

Tags

CCSS.HSF-BF.B.4A

Answer explanation

Use Desmos to evaluate each function with 5. See which output is greater than, less than, or equal to.

Answer explanation

Use Desmos to evaluate each function for -1/2. Compare the outputs you get for f(x) and g(x). Which one is greater?

• 3

Answer explanation

The rate of change is the same as the rise/run.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• -1/2

• 1/2

• 4

• 2

Answer explanation

Start at the point whose x is 1 and your rise and your run until you get to the point whose x is 5.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• horizontal shift to the left 2 and vertical stretch by a factor of 3

• horizontal shift to the right 2 and vertical stretch by a factor of 3

• horizontal shift to the right 2 and vertical compression by a factor of 3

• horizontal shift to the left 2 and vertical compression by a factor of 3

Answer explanation

Tags

CCSS.HSF.BF.B.3

• (-2, 5)

• (-6, 5)

• (-4, 3)

• (-4, 7)

Answer explanation

The vertex of a parabola is either a parabolas maximum point or its minimum point.