Core Connections Integrated II, 2015
CC
Core Connections Integrated II, 2015 View details
1. Section 9.1
Continue to next subchapter

Exercise 17 Page 489

Practice makes perfect
a Inside Carmen's function machine we find the following equation.
(x-1)^2+2 If a number is dropped in the function machine, it replaces every x in the function and the output is the result when the expression is evaluated.
(x-1)^2+2
( 2-1)^2+2
â–Ľ
Evaluate
1^2+2
1+2
3
Therefore, the output is 3 when 2 is dropped in the machine.
b Carmen's function machine contains the following expression.
(x-1)^2+2 When -4 is dropped in the function machine, it replaces every x with -4. The expression can then be evaluated to find the output.
(x-1)^2+2
( -4-1)^2+2
â–Ľ
Evaluate
(-5)^2+2
25+2
27
The function value when -4 is dropped in Carmen's function machine is 27.
c Inside Carmen's function machine we find the following equation.
(x-1)^2+2 A negative decimal number is dropped in the function machine. This makes the calculations harder and a calculator should be used.
(x-1)^2+2
( -11.3-1)^2+2
â–Ľ
Evaluate
(-12.3)^2+2
151.29+2
153.29
When -11.3 is dropped in the machine, the output is 153.29.