body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Core Connections Integrated III, 2015

CC

Core Connections Integrated III, 2015 View details

1. Section 6.1

Continue to next subchapter

Exercise 30 Page 279

Equate the function's right-hand sides and solve for x.

(- 6,1/2), and (6,1/2)

Practice makes perfect

By setting the function's right-hand sides equal and solving for x, we can find the coordinates where the graphs of the functions intersect.

1/2=16/x^2-4

LHS * (x^2-4)=RHS* (x^2-4)

x^2-4/2=16

LHS * 2=RHS* 2

x^2-4=32

LHS+4=RHS+4

x^2=36

sqrt(LHS)=sqrt(RHS)

x_(1,2)=± 6

The functions intersect at x=- 6 and x=6. Notice that we already know that the y-value is 12, since one of the functions is a horizontal line through this value. (- 6, 12), and (6, 12)

Subchapter links

6.1.1 Simulations of Probability p.270-271

6.1.2 More Simulations of Probability p.274-275

6.1.3 Simulating Sampling Variability p.278-279