Let f (x) = x3 - 6. Find all numbers c in the interval (-7, 7) for which the line tangent to the graph of f is parallel to the line joining (-7, f (-7)) and (7, f(7)) How many such numbers exist in the given interval? O 1 O 2 3 Enter points in increasing order (smallest first). Enter DNE in any empty answer blank. C = C = C =

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A: follow next step

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: