Chapter 5 Review (College Algebra)

Function and one-to-one (injective)

Function, but not one-to-one (injective)

Not a function at all

A. only

B. Only

C. Only

A. and B.

B. and C.

$$f^{-1}\left(x\right)=x-\frac{1}{9}$$

$$f^{-1}\left(x\right)=-9x+1$$

$$f^{-1}\left(x\right)=\frac{x+1}{9}$$

$$f^{-1}\left(x\right)=\frac{x-1}{9}$$

their coordinates are switched (y,x).

their graphs are reflected over the line y=x.

they both pass through the origin (0,0).

they intersect at only one (x,y) location.

$$y=2\cdot\left(\frac{1}{3}\right)^x$$

$$y=2\cdot\left(3\right)^x$$

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

$$y=2\cdot\left(\frac{1}{4}\right)^x$$

$$\log_28$$

$$3\log_77$$

$$\log_412$$

$$\frac{1}{2}\log_{12}\left(12^6\right)$$

$$\log_39$$

$$\left(0,\ \infty\right)$$

$$\left(-1,\ \infty\right)$$

$$\left(-\infty,\infty\right)$$

$$\left(7,\ \infty\right)$$

$$\left(1,\infty\right)$$

x = 2

x = -2

x = 1/2

x = -7/2

No Solution

$$\log_{4f}\ x=\frac{1}{2}$$

$$\log_x4f=\frac{1}{2}$$

$$\log_{\frac{1}{2}}x=4f$$

$$\log_{\frac{1}{2}}4f=x$$

$$6\log xy$$

$$6\log y$$

$$8\log x$$

$$\frac{3}{4}\log xy$$