NC Math 3 Module 1 Review

Answer explanation

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

Answer explanation

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

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.

Answer explanation

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

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.

• -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.

• 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

• (-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.