Topic
Q:
1) \( y=3 x^{2}-2 x-1 \)
Q:
\( \frac{d}{dx}|x^{3}-\cos (x)| \)
Q:
Find the slope and \( y \)-intercept of the graph of the equation.
\[ y=\frac{2}{5} x-1 \]
Slope \( =\square \) (Enter a fully reduced fraction.)
The y-intercept is \( \square \).
(Simplify your answer. Type an ordered pair.)
Q:
\( f(x)=1-x^{2 / 3} \)
\( f(-1)=0 \)
\( f(1)=0 \)
Find \( f(-1) \) and \( f(1) \).
\( c=\square \) values \( c \) in \( (-1,1) \) such that \( f^{\prime}(c)=0 \). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.
Q:
If \( 10^{\log x}=10^{18} \), what is the value of \( x ? \) (1 point)
18
\( 10^{18} \)
-18
\( 10^{-18} \)
Q:
Building \( A \) is 150 feet shorter than Building B. The total height of the two
buildings is 1490 feet. Find the height of each building.
What is the height of Building \( A \) ? \( \square \mathrm{ft} \)
(Simplify your answer. Type an integer or a decimal.)
What is the height of Building B? \( \square \mathrm{ft} \)
(Simplify your answer. Type an integer or a decimal.)
Q:
a) \( 2^{5}= \)
Q:
Consider the following function.
\[ f(x)=1-x^{2 / 3} \]
Find \( f(-1) \) and \( f(1) \)
\( f(-1)=\square \)
\( f(1)=\square \)
Q:
Find all x -intercepts of the following function. Write your answer or
answers as coordinate points. Be sure to select the appropriate number of
\( x \)-intercepts.
\[ f(x)=\frac{3 x^{2}-x}{x^{2}-3 x-54} \]
Q:
Solve for \( x \) in the logarithmic equation \( 10^{\log \left(10^{24}\right)}=10^{x} \). (1 point)
\( \begin{array}{l}x=10^{24} \\ x=24^{10} \\ x=24 \\ x=10\end{array} \)
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