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The graphs of functions f and g are shown below.
a) Find all values of x for which f(x)=g(x).
b) Find all values of x for which f(x) c) Find all values of x for which f(x)>g(x).

20 points The graphs of functions f and g are shown below. a) Find all values of x-example-1
User Kennyut
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1 Answer

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Answer:

a) x=-10,0,11

b) x<-10, 0<x<11

c) x>11, -10<x<0

Explanation:

a) Find all the intersecting points of the two graphs.

b) Find all the x values when g(x) (the curving one) is higher than f(x). g(x) or f(x) is kind of like the y coordinate in these graphs. There for to find when f(x)<g(x), you have to find when g(x) is above f(x). Any part of g(x) above the intersecting points is your answer. So we can see that at -10, the curving line is above the straight one, f(x). There for that would be when x<-10, g(x)>f(x). Use these intersection points to figure out the rest.

c) Find all the x values of when the curving line, g(x) is below f(x), the straight line. Use the points where the two lines intersect t start off your answer. For example, we can see the curved line is below the straight one between -10 and 0. Therefore, f(x)>(g) when -10<x<0. x>11 is the only other moment when g(x), the curving line is also below f(x).

I also struggled with this question and I tried my best to explain.

User Flamenco
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