Calculus Questions

Determine the values of h and k in the equation of g(x).g(x) = 3 sqrt x - h + k

Write the equation:An absolute value function that has been reflected over the y, vertically compressed by 1/3, shifted left 4 and shifted down 6

Transformations of Parent Functions f(x)=a(b(x-h)^2)+k, what is k

The function f is continuous on the interval (0,16), and f is twice differentiable except at x=5 where the derivatives are undefined. Information about the first and second derivatives of f for values of x in the interval (0,16) is given in the table above. At what values of x in the interval (0,16) does the graph of f have a point of inflection?

The first derivative of the function ℎ is given by ℎ′⁡(x)=sin⁡x+cos⁡(x^2)+x, and the second derivative of ℎ is given by ℎ″⁡(x)=cos⁡x−2⁢x⁢sin⁡(x^2)+1. On what open intervals contained in −3<x<2 is the graph of ℎ both increasing and concave down?

The first derivative of the function ℎ is given by ℎ′⁡(x)=3⁢ln⁡(2+cos⁡(2⁢x))−x, and the second derivative of ℎ is given by ℎ″⁡(x)=−6⁢sin⁡(2⁢x)/2+cos⁡(2⁢x)−1. On what open intervals contained in −2<x<2 is the graph of ℎ both increasing and concave down?

Which ordered pairs represent points on the graph of f(x) = negative 3 sqrt x ? Check all that apply.

mathematically proving that two functions are inverses

Write the equation:A cubic function shifted left 5, up 1, and vertically stretched by 4

Let f be the function defined by f(x)=1/3⁢x^3−3⁢x^2−16⁢x. On which of the following intervals is the graph of f both decreasing and concave down?

Let f be the function defined by f⁡(x)=1/3⁢x^3−4⁢x^2−9⁢x+5. On which of the following intervals is the graph of f both decreasing and concave down?

The graph of f(x) = 3 sqrt x is shown with g(x). Which equation represents the graph of g(x)?

When f'(x) is increasing, f(x) is _____________________ and f''(x) is ___________________.

An x-intercept on f'(x) corresponds to a ___ of f(x)

When the _____ of f(x) are decreasing, f"(x) is negative.

f(x) has a relative maximum when f'(x) changes from ___ to ___

When f"(x) is _____, f(x) is concave down.

Points of inflection on f(x) are ___ on the graph of f'(x)

The derivative of a function f(x) as h approaches a number

What makes a differentiable equation smooth?