+0  
 
-1
96
2
avatar+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

 Jul 20, 2022
 #1
avatar+91 
0

i have solved the first one the answer was c

 Jul 20, 2022
 #2
avatar+124676 
+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

 

 

cool cool cool

 Jul 20, 2022

18 Online Users