91Ó°ÊÓ

Exer. 37-46: (a) Sketch the graph of \(f\). (b) Find the domain \(D\) and range \(R\) of \(f\). (c) Find the intervals on which \(f\) is increasing, is decreasing, or is constant. $$ f(x)=\sqrt{x+4} $$

Exer. 41-44: Use the slope-intercept form to find the slope and \(y\)-intercept of the given line, and sketch its graph. $$ 7 x=-4 y-8 $$

An object is projected vertically upward with an initial velocity of \(v_{0} \mathrm{ft} / \mathrm{sec}\), and its distance \(s(t)\) in feet above the ground after \(t\) seconds is given by the formula \(s(t)=-16 t^{2}+v_{0} t\). (a) If the object hits the ground after 12 seconds, find its initial velocity \(v_{0}\). (b) Find its maximum distance above the ground.

Exer. 35-46: Find an equation of the circle that satisfies the stated conditions. $$ \text { Center } C(4,-1) \text {, tangent to the } x \text {-axis } $$

Exer. 37-46: (a) Sketch the graph of \(f\). (b) Find the domain \(D\) and range \(R\) of \(f\). (c) Find the intervals on which \(f\) is increasing, is decreasing, or is constant. $$ f(x)=\sqrt{4-x} $$

There is one function with domain \(\mathbb{R}\) that is both even and odd. Find that function.

Exer. 37-46: (a) Sketch the graph of \(f\). (b) Find the domain \(D\) and range \(R\) of \(f\). (c) Find the intervals on which \(f\) is increasing, is decreasing, or is constant. $$ f(x)=-2 $$

Payroll functions Let the social security tax function SSTAX be defined as \(\operatorname{SSTAX}(x)=0.0765 x\), where \(x \geq 0\) is the weekly income. Let ROUND2 be the function that rounds a number to two decimal places. Find the value of \((\) ROUND2 ° SSTAX) \((525)\).

Exer. 35-46: Find an equation of the circle that satisfies the stated conditions. Tangent to both axes, center in the second quadrant, radius 4

Find two positive real numbers whose sum is 40 and whose product is a maximum.