Question 1
The given system of equations is:
Equate the two equations:
Rewrite in standard form:
When we put x=0, in y=3x +6, we get:
One solution is (0,6)
When we put x=-2, into y=3x+6, we get:
Another solution is (-2,0)
The solutions are; (0,6) and (-2,0)
Question 2:
The function is
Let us put x=-x,
This gives:
We can observe that:
This is the property of an even function.
Question 3:
The given function is
The average rate of change of f(x) from x=a to x=b is given as:
This is the slope of the secant line connecting the two points on f(x)
From x=2 to x=6, the average rate of change
The average rate of change is 11