Chapter ISG, Problem 9.1.8P

To determine

To find which function has greater maximum

Answer to Problem 9.1.8P

Function 2 has greater maximum.

Explanation of Solution

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

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.

  $y=-x^2+3x-2$

Put the value of x in y, get:

x	0	1	$\frac{3}{2}$	3	4
y	-2	0	$\frac{1}{4}$	1	4

• Graph of Function 1:

Maximum of function 1 is at $\left(1.5,0.25\right)$

  

• Graph of Function 2:

Maximum of function 2 is at $\left(2,2\right)$

  

Function 2 has greater maximum.