Shown below is the graph of y = f(x) over the interval –2 < x < 6. qy = f(x) Which of the following statements is true? Select all true statements. O f(x) has two inflection points over the interval. O f(x) has no global maximum over the interval. O f(x) has two local minima over the interval. O f(x) has three critical points over the interval. O f(x) has five critical points over the interval. f(x) has four local maxima over the interval.

Q: Consider the following function. (4x + 1, 1x² - 4₁ (a) Find the critical numbers of f. (Enter your…

A: Given function is fx=4x+1,x≤-1x2-4,x&gt;-1. To find: (a) Critical numbers of…

Q: x = -3 is a critical number of the function f(x) = (x – 3)(x + 3)². Select one: O True O False

A:

Q: (x² + 2 , x² – xk – 3 , x 5 7. Find the value of K that makes the function f(x) = Continuous at x =…

A:

Q: 3. Determine the values of a and b if the given function f(x) is continuous. (2x + 6 ,x 2 Solution:

A:

Q: Which of the following statement is true for the function f(x) = x³ - 12x. Select one: Of is…

A: A function is given. The correct option regarding the derivatives and the critical points of the…

Q: 1. Find all local max/local min values of f(r) = x² – 6x – 1

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: 4. Determine the constant m such that f(x) = {x2 + m, if x ≥ 3…

A: Given that: f(x)=x2+m, if x≥32x-m, if x&lt;3