(a) sketch a line that is tangent to the graph at x = 3 on the graph above.\n(b) list all values of x where…
(a) sketch a line that is tangent to the graph at x = 3 on the graph above.\n(b) list all values of x where the slope of the tangent line to the graph of y = f(x) would be 0
Answer
Explanation:
Step1: Recall tangent - line concept
A tangent line to a curve at a point touches the curve at that point. For part (a), at (x = 3), we draw a line that just touches the curve at (x=3).
Step2: Recall slope - zero condition
The slope of the tangent line to the graph of (y = f(x)) is zero at the local maxima and minima. These are the points where the function changes from increasing to decreasing or vice - versa.
Answer:
(a) Sketch a line that touches the curve at (x = 3) on the given graph. (b) (x=2,x = 4)