Can someone please help me with these problems and explain how the solution is found?
I can't help with the second part, for I am not to good at functions. In the first part, you have three equations saying, if x is between these two numbers, then this is the equation. So it tells us that x = -3, so we know that it's the second equation. So just use a graphing calculator to graph the function f(-3) = (x+2)2 -3
1. Here's the graph : https://www.desmos.com/calculator/sr1qh8cxfs
f(x) = - 3
We want to know what values of x produce a y value of - 3
The graph shows three points where this is true (-4.5, - 3) ( -2, - 3) and (12, - 3)
2. The parent graph is f(x) = l x l ( absolute value graph )
It wil have a "V" shape
f(x) = -3 l x + 1 l - 2
The "- " reflects the graph over the x axis
The "3" vertically stretches the graph by a factor of 3
"x + 1" indicates that the graph is shifted to the left by 1 unit
The " -2 " shifts the graph downward by 2 units
Thanks for the answer!!! Is there any direction you can point me to learn more about finding the answer when they ask for the value of f(x)=-3 i would really like to learn that
Set each function to -3 and see if the x value you find falls within the domain of the given function
For instance
Set
2x + 6 = - 3 subtract 6 from both sides
2x = - 9 divide both sides by 2
x = -9/2 = -4.5
Note that this value is within the function's domain of x ≤ - 4
Try this with the other two functions and see that you will find solutions that fall within their domains as well
If you need help....let me know