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Here are some problems a little different from the actual questions:

 

1) Let f(x) = |x| and g(x) = x^2. Find all values of x for which f(x) > g(x). Write your answer in interval notation.

 

2) Consider f(x) = 1/x and g(x) = -sqrt(x). Find the sum of the number of intersections between f and g, and the number of intersections between f and g^(-1).

 

3) How many intersections are there between the graphs of f(x) = 0.8x and g(x) = ⌊x⌋?

 

Thank You!

 Apr 4, 2023
 #1
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1)  (-1,0)U(0,1)

 Apr 4, 2023
 #2
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Thank You!

Guest Apr 4, 2023
 #3
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2) f and g have two intersections, and f and g^{-1} have two intersections, so the sum is 4.

 Apr 4, 2023
 #4
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Sorry, that's wrong.

Guest Apr 4, 2023
 #5
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3) 4 points of intersection.

 Apr 4, 2023
 #6
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Correct! Thanks!

Guest Apr 4, 2023

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