Chapter ISG, Problem 9.1.2P

To determine

To find the intercepts and max or min of function $y=-x^2-3x-3$

Answer to Problem 9.1.2P

Intercept: x-intercept = -1, -2 and y-intercept = -2

Max or Min: Max at $x=-2,-1$ and $y=0$

Explanation of Solution

Given Information: $y=-x^2-3x-3$

Formula Used: Graphing Utility

Calculation:

For such equations, a graphing utility can often be used to investigate possible solutions. When a graphing utility is used to solve an equation, usually approximate solutions are obtained.

  $y=-x^2-3x-3$

Put the value of x in y, get:

  $\begin{array}{cc}x& y\\ -4& -6\\ -3& -2\\ -2& 0\\ -1& 0\\ 0& -2\\ 1& -6\end{array}$

  

Hence,

Intercept: x-intercept = -1, -2 and y-intercept = -2

Max or Min: Max at $x=-2,-1$ and $y=0$