et P the -21 -1 mpate s(3) ute s'(O) ribe your comfort level with the elements discussed in dass this past week Which topie mads ch topic is still conhsing? Bonus point will he awardet only if hoth

Q: The graph of the derivative of f is shown below: -y-5 4 -3 -2- -1- 0 1 2 f'(x) 3 4 f', the…

A:

Q: Below is the graph of f"(x). For what values of x is f(x) concave up? 1S (x) + + -8 -7 -6 -4 -3 -2…

A: Topic:- Functions

Q: Sketch the graph of f(x) = -3x³-4x² + 6x-2 by following the steps in sketching the graph of a…

A: A graph is said to be concave up at a point if the tangent line to the graph at that point lies…

Q: Let f(x) = (x – 8)² + 4, æ > 8. Determine f-'(x). f-'(x) = ||

A:

Q: Let x + 1 f(x) x + 9 f-'(- 4) =

A: To find the solution first we have to find the inverse of the given function and then evaluate it at…

Q: 1. Given the function f(x) = x³ - 3x² - 9x + 7, make a sign diagram for the first derivative and…

A:

Q: let f(x)= X4+1 a find f'() + simplity

A: Givenf(x) = x4 + 1x2

Q: Use the graph of f(x) to find the interval where f''(x) > 0. Ⓡ 3- 2- 1- ms -5 -4 -3 -2 -1 1 3 4 5 A.…

A: Here we have given the curve of f(x)  Now to determine all x value where  f"(x) > 0

Q: What is the new function for g(x)

A:

Q: Consider the graphs of these three functions. 6 10 f" (x) is the [Select ] [ Select ] Dashed Line v.…

A:

Q: Suppose that f is a function given as f(x) = 2x² + 7x - 2. Simplify the expression f(x + h). f(x +…

A:

Q: Suppose that f(x) and g(x) are each one-to-one functions. Suppose also that f(2) = 5, f(5) = 6, g(6)…

A:

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: