Use interval notation to write the intervals over which \( f \) is a) increaving, b) decreasing. and c) constant. a. \( (-\infty, 2) \) b. \( (2, \infty) \) \( w_{n} x=2 \) a) \( (-\infty,-1) \) b. \( (-1, \infty 6) \) c. never constani a. \( (-\infty,-2) \) b. \( (-2,-\infty) \) c. never constant a) \( (-\infty, 2) \) b. \( (2, \infty) \) 6. never constant
Identify the location and value of any relative maxima or minima of the functios At \( x=-3 \), the finction has a relative minimum of \( -5 \). At \( x=0 \), the function has a relative maximum of 0 . At \( x=3 \), the function has a relative minimum of \( -5 \). At \( x=-3 \), the function has a relative mainiram of 0 . \( \mathrm{At} x=0 \), the function has a relative maximum of 0 . At \( x=3 \), the function has a relative minimem of 0 . At \( x=-4.2 \), the function has a relative minimam of 0 . At \( x=0 \), the function has a relative maximum of 0 . At \( x=4.2 \) the function has a relative minimum of 0 . At \( x=-3 \), the function has a relative minimam of of. At \( x=3 \), the function has a relative minimum of \( -5 \).
to take the quiz alone, without the assistance of others or the interriet 84 calculator. Question 19 Find the difference quotient, or \( \frac{f(x+h)-f(z)}{h} \) for the given function. \[ f(x)=x^{2}+8 x \] 1 \[ \begin{array}{l} 2 x h+h^{2}+8 \\ 2 x+8 \\ 2 x+h+8 \end{array} \]
to take the duiz alone, without the assistance of others of the internet. You may use serntch paper wn 4 calculator. Question 20 0 pts BONUS \( (5, p t s) \) Find the domain of \( f(x)=\frac{x+1}{\sqrt{r-3}} \) Domain a Write your answer in the esary bok. Write your answer uning inteval sotation to receive credit. You may use the equation editor by clicking on \( \sqrt{x} \). If rou need to write infinity. you can just wite out the word of wse an abbreviation. Vaf?: