Math 123 Class #5

Find f(-3).

• 15

• -3

• 2

• -2

On what interval is the function increasing?

• $\left(-\infty,0\right)$

• (0,3)

• $\left(-\infty,-1\right)$

• (-1,0)

Does the graph represent a function?

• Yes, passes the vertical line test

• Yes, passes the horizontal line test

• No, doesn't pass the vertical line test

• No, doesn't pass the horizontal line test

Use the graph to find any local maxima/minima.

• maximum: (0, 1); minimum: none

• maximum: none; minimum: (2, -3)

• no maximum or minimum

• maximum: (0, 1); minimum: (2, -3)

Find the difference quotient for f(x)=2x-9.

• $2+\frac{4\left(x-9\right)}{h}$

• $2-\frac{18}{h}$

• 2

• 9

Find the domain of  $\frac{\sqrt{x-4}}{x-3}$  

•  $\left[4,\infty\right)$  

•  $\left(3,\infty\right)$  

• (3,4)

• [3,4]

Find g(f(x)) if  $f\left(x\right)=-4x+7$  and  $g\left(x\right)=3x+9$  

•  $-12x+30$  

•  $-12x+43$  

•  $12x+30$  

•  $-12x-12$  

Find functions f and g so that  $h\left(x\right)=f\left(g\left(x\right)\right),\ if\ h\left(x\right)=\frac{1}{x^2-3}$  

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

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

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

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

What is the equation of the line shown?

• y=-2x+2

• y=-2x-2

• y=2x+2

• y=2x-2