NC Math 3 Module 1 Review

$$h\left(x\right)=x^3+11x^2+18x+80$$

$$h\left(x\right)=x^2+8x+18$$

$$h\left(x\right)=x^2+10x+22$$

$$h\left(x\right)=\frac{x^2+9x+20}{x+2}$$

$$h\left(x\right)=x^2-17x+55$$

$$h\left(x\right)=x^2+17x+45$$

$$f\left(x\right)=\frac{x^2-16x+50}{x-5}$$

$$f\left(x\right)=x^2-15x+45$$

$$f^{-1}\left(x\right)=-\frac{1}{2}x+3$$

$$f^{-1}\left(x\right)=2x-\frac{3}{2}$$

$$f^{-1}\left(x\right)=-\frac{1}{2}x-3$$

$$f^{-1}\left(x\right)=2x-6$$

$$f^{-1}\left(x\right)=-2\sqrt[3]{x}$$

$$f^{-1}\left(x\right)=\frac{x^3}{8}$$

$$f^{-1}\left(x\right)=\frac{x^3}{2}$$

$$f^{-1}\left(x\right)=\frac{2x}{\sqrt[3]{x}}$$

$$f\left(5\right)>g\left(5\right)$$

$$f\left(5\right)<g\left(5\right)$$

$$f\left(5\right)=f\left(5\right)$$

$$f\left(-\frac{1}{2}\right)>g\left(-\frac{1}{2}\right)$$

$$f\left(-\frac{1}{2}\right)<g\left(-\frac{1}{2}\right)$$

$$f\left(-\frac{1}{2}\right)=g\left(-\frac{1}{2}\right)$$

$$\frac{7}{3}$$

$$2$$

$$\frac{2}{3}$$

3

-1/2

1/2

4

2

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

(-2, 5)

(-6, 5)

(-4, 3)

(-4, 7)