Test Section10FunctionNotationTest

Find the following value: if $r(x) = 4(x+1) \cos x - (x^2 - 1)$, find $r(x)$ when $x=0$.

(Enter your answer as a number without any functions like sine, ln, etc.)

Let $g(x) = 2(x+1)^2-4$. Find $g(2)$.
$g(2) =$

Evaluate mentally (without using a calculator): $-\ln x$ at $x=e$.

(Enter your answer as a number without any functions like sine, ln, etc.)

Find the following value: if $r+3=q(s-4)$, find $s$ for $r=1$, $q=2$.

(Enter your answer as a number without any functions like sine, ln, etc.)

Evaluate mentally (without using a calculator): $\log(2x-3)$ at $x=2$.

(Enter your answer as a number without any functions like sine, ln, etc.)

Find the following value: if ${2x\over3} = {(3x+1)^2\over6}+C$, find $C$ for $x=1$.

(Enter your answer as a number without any functions like sine, ln, etc.)

Let $f(x)=\sqrt{x^2+16}-5$. What is the vertical intercept of the graph of $f(x)$?
vertical intercept =

Evaluate mentally (without using a calculator): $(x-1)(x+1)+3x$ at $x=2$.

(Enter your answer as a number without any functions like sine, ln, etc.)

Let $s(t) = 11t^2 + t + 100$ be the position (in miles, mi) of a car driving on a straight road at time $t$ (in hours, hr). Where is the car after 2 hours?

(Enter your answer as a number with units, leaving a space between your numerical answer and the units.)

Let $f(x) = {6x\over 1+x}$. Solve the equation $f(x) = 3$ for $x$.
$x =$