Let's solve this problem graphically. Here we have the following equation:
So we can rewrite this as:
So the solution to the equation is the x-value at which the functions f and g intersect. In other words:
Using graphing calculator, we get that this value occurs at:
Answer:
The graph is positive and decreasing for all real values of x where x < -1
Step-by-step explanation:
we have
The function is a vertical parabola open up
The roots (x-intercepts) are x=3 and x=-1
The vertex is the point (1,-4 ) is a minimum
using a graphing tool
see the attached figure
we know that
In the interval (-∞,-1) ---> the function is positive and decreasing
In the interval (-1,1) ---> the function is negative and decreasing
In the interval (1,3) ---> the function is negative and increasing
In the interval (3,∞) ---> the function is positive and increasing
therefore
The graph is positive and decreasing for all real values of x where x < -1
