+91 1).
A graph is shown below. Which of the following is true for this graph?
the graph does not represent a function
the graph represents a function, and it has an inverse
the graph represents a function, but it does not have an inverse
2)
Let f(x) = |x| and g(x) = x^2. Find all values of x for which f(x) > g(x).
i dont know how to answer these problemsq
+129852 2) Note that lxl can be written as sqrt ( x^2)
So
f(x) > g(x)
sqrt (x^2) > x^2 square both sides
x^2 > x^4 subtract x^4 from both sides
x^2 - x^4 > 0
Note that this is only true on the intervals (-1, 0) and (0 , 1)
Here's a graph to show this : https://www.desmos.com/calculator/wkih1868jq
