Gateway Quiz Section10FunctionNotationTest

Let $g(z)=\ln(z)$. Where does the graph of $g(z)$ cross the $z$-axis?

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

Let $v(t)=t^2-2t$, where $v(t)$ is the velocity in ft/s of an object at time $t$. What is the initial velocity $v(0)$?
$v(0) =$
(Enter your answer as a number with units, leaving a space between your numerical answer and the units.)

Find the following value: if $F(x) = {1\over4}x^4 + x$, find $F(b)-F(a)$ for $a=-1$, $b=1$.

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

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

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

Evaluate mentally (without using a calculator): ${\sin x\over x}$ at $x={\pi\over2}$.

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

Evaluate mentally (without using a calculator): $10^{2x-5}$ at $x=3$.

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

Let $g(x) = 2(x+1)^2-4$. What is the $x$-intercept of the graph of $g(x)$ (for $x>0$)?
$x$-intercept =

Let $M(r)=20(1.2)^r$. If $r=1$, what is $M(r)$?

(Enter your answer 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): $x\tan x$ at $x={\pi\over4}$.

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