91Ó°ÊÓ

A formula in the form \(y=m x+b\) models the average retail price, \(y,\) of a new car \(x\) years after \(2000 .\) Would you expect \(m\) to be positive, negative, or zero? Explain your answer.

Let \(P(x, y)\) be a point on the graph of \(y=x^{2}-8 .\) Express the distance, \(d,\) from \(P\) to the origin as a function of the point's \(x\) -coordinate.

use the given conditions to write an equation for each line in point-slope form and slope-intercept form. \(x\) -intercept \(=-\frac{1}{2}\) and \(y\) -intercept \(=4\)

Find \(f+g, f-g,\) fg, and \(\frac{f}{8} .\) Determine the domain for each function. $$f(x)=3-x^{2}, g(x)=x^{2}+2 x-15$$

Let \(P(x, y)\) be a point on the graph of \(y=\sqrt{x} .\) Express the distance, \(d,\) from \(P\) to \((1,0)\) as a function of the point's \(x\) -coordinate.

Determine whether each function is even, odd, or neither. Then determine whether the function's graph is symmetric with respect to the \(y\) -axis, the origin, or neither. $$f(x)=x^{3}+x$$

Evaluate each function at the given values of the independent variable and simplify. \(f(x)=\frac{x}{|x|}\) a. \(f(6)\) b. \(f(-6)\) c. \(f\left(r^{2}\right)\)

What is a secant line?

Find \(f+g, f-g,\) fg, and \(\frac{f}{8} .\) Determine the domain for each function. $$f(x)=5-x^{2}, g(x)=x^{2}+4 x-12$$

Determine whether each function is even, odd, or neither. Then determine whether the function's graph is symmetric with respect to the \(y\) -axis, the origin, or neither. $$f(x)=x^{3}-x$$