Answer:
k=16
Step-by-step explanation:
So the tangent line is
and it tangent to function
Since the slope of the tangent line is 4, this means the derivative of f(x) is 4 but first let find the derivative of
Use the Sum Rule,
Use the Power Rule and we get
Set this equal to 4
So at x=-2, the slope of the tangent line is 4.
Plug -2 in the orginal function, and we get
So the point must pass through -2,8 with a slope of 4.
So the value of k is 16.