Core Connections Integrated III, 2015
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Core Connections Integrated III, 2015 View details
1. Section 9.1
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Exercise 50 Page 448

Practice makes perfect
a We are given a graph of two quadratic functions.

f(x)=& 2x^2+5x-3 g(x)=& x^2+4x+3 We want to find the values of x for which f(x)=g(x). To do this, let's look at our graph and find all of the points of intersection of the two functions.

We can see that the functions intersect at x=-3 and x=2. This means that f(x)=g(x) at x=-3 and x=2.

b This time we want to find the values of x for which f(x)> g(x). Let's another look at our graph and find for what values of x the graph of f(x) is above the graph of g(x).

We can see that the values of f(x) are greater than the values of g(x) if x< -3 or x> 2.