Tangent lines with zero slope a. Graph the function f(x) = 4 – x2 . b. Identify the point (a, f(a)) at which the function has a tangent line with zero slope. c. Consider the point (a, f(a)) found in part (b). Is it true that the secant line between (a - h, f(a – h)) and (a + h, f(a + h)) has slope zero for any value of h ≠ 0?
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:
Tangent lines with zero slope a. Graph the function f(x) = 4 – x2 . b. Identify the point (a, f(a)) at which the function has a tangent line with zero slope. c. Consider the point (a, f(a)) found in part (b). Is it true that the secant line between (a - h, f(a – h)) and (a + h, f(a + h)) has slope zero for any value of h ≠ 0?
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