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

cosign Jul 20, 2022

#2**+1 **

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

CPhill Jul 20, 2022