91Ó°ÊÓ

Begin by graphing the cube root function, \(f(x)=\sqrt[3]{x} .\) Then use transformations of this graph to graph the given function. $$g(x)=\sqrt[3]{-x+2}$$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. My body temperature is a function of the time of day.

solve and graph the solution set on a number line. $$\frac{x+3}{4} \geq \frac{x-2}{3}+1$$

Given an equation in \(x\) and \(y,\) how do you determine if its graph is symmetric with respect to the \(x\) -axis?

If you are given a function's equation, how do you determine if the function is even, odd, or neither?

What is a piecewise function?

Explain how to find the difference quotient of a function \(f\) \(\frac{f(x+h)-f(x)}{h},\) if an equation for \(f\) is given.

Give an example of a relation with the following characteristics: The relation is a function containing two ordered pairs. Reversing the components in each ordered pair results in a relation that is not a function.

What must be done to a function's equation so that its graph is reflected about the \(x\) -axis?

Determine whether each statement makes sense or does not make sense, and explain your reasoning. My graph is decreasing on \((-\infty, a)\) and increasing on \((a, \infty)\) so \(f(a)\) must be a relative maximum.