What is the domain and the range of the function $g\left(x\right)=-\mid x\mid +5$?

Find the piecewise formula of the graph below.

For the given function, provide the equation of all its possible asymptotes $f\left(x\right)=\frac{5x^2-9}{x-3}$.

Given the function $f\left(x\right)=-5+7x$, identify its inverse function from the following options. Then, graph the function and its inverse.

Is the following trigonometric equation an identity?

$\frac{\cos A}{1+\sin A}=\frac{1-\sin A}{\cos A}$

Which of the following tables shows the correct trigonometric function values?

Given the graph of the function $h\left(x\right)$, sketch the graph of the function $h(x+3)$.

Which of the following pairs of $u\left(x\right)$ and $v\left(x\right)$ is correct for $u\left(v\right(x\left)\right)=(x^3-5{)}^4$?

Simplify the expression: (10/5)^3.

A certain species of fish in a lake reproduces at a rate that doubles its population every $24\text{ hours}$. The initial population of the fish was $200$. If the population $t$ hours after the initial observation is represented by the function $p\left(t\right)=200\cdot 2^{\frac{t}{24}}$, what would be the population $3\text{ days}$ after the initial observation?

Given that ${\log }_{c}a=0.45,{\log }_{c}b=0.65,$ find the value of ${\log }_c\left(a/b\right)$.

Identify the intervals where the function $h\left(x\right)=\mid x+4\mid$ is one-to-one and thus has an inverse.

Which of the following is equivalent to ${\csc }^{-1}\left(y\right)$ for $y\ne 0$?

Prove the limit statement: ${\lim }_{x\to 2}(7-x)=5$. Which of the following choices for $\delta$ (in terms of $\epsilon$) correctly proves this limit?

Evaluate the limit.

$\underset{x\to -\infty }{\lim }11e^x\cos x$

Identify the continuous function in the interval $(0,15)$.