r2-4 if r + 2, c. f(r) = r- 2 if r = 2.

Q: Which of the following statements about the function y = ƒ(x)graphed here are true, and which are…

A:

Q: Determine whether each of the following statements is true or false, and explain whyIf a function…

A: Given statement: If a function that is symmetric about the origin has a y-intercept,it must pass…

Q: 11. f(x)=3x -4x+2 at x 2

A: We have to  solve the ist question as per guideline Please repost other question again

Q: - Find and classify the discontinuities of the function f(x) x2 - 1

A:

Q: Draw the graph of the following piecewise function f(x) defined as: -t+1 for -5<t< -1 f(t) = t² + 1…

A: To Find: Graph of the given piecewise continous function

Q: Draw the graph of the given function. 1. f: R → Z, defined by f(x) = [2x – 3] 2. f : Z → Z, defined…

A:

Q: If f is a function that has a removable discontinuity at x = 3, which of the following could be the…

A: removable discontinuity-these types of discontinuity are shown by hole with a continuous function…

Q: Determine from the graph whether the function has any global extreme values on the interval [a, b].

A:

Q: Find the local maximum of the function f(x), which is given in the graph below. 2 X, -7 -6 -5 -4 -3…

A: Local maximum.

Q: When f(x)→±∞ as x→a from the left or the right, x = a is a ________ ________ of the graph of f.

A: Given that when f(x)→±∞ as x→a . We need determine the nature of x as x=a such that f(x)→±∞.

Q: Show that the graph of the function h is symmetric about the origin, given that h(x) = (1 + x2)/(x…

A:

Q: Sketch the graph of the function f to determine the type of discontinuity at each x-value. x + 2, if…

A: Solve the following

Q: Consider the following graph of f (x). Which of the following are inflection points off? -8 -7 -6 -5…

A: Point of inflection

Q: Classify the discontinuities in the following functions at the given points. x? - 7x + 10 f1x2 ;x =…

A:

Q: g(x) = -(x + 2)*

A: The given function is  g(x)=-(x+2)2

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: We will use the following standard procedure to find the maxima and the minima of the given function…

Q: Find the intervals on which the following function are increasing and decreasing and also locate…

A:

Q: Determine whether each of the following functions has an asymptote as x gets large. If so, give the…

A: Consider the provided function, fx=3x-2x+1 Determine whether each of the following functions has an…

Q: The graph of the function f is given below. f is not differentiable at

A: For differentiability of a function,  Left hand derivative = Right hand derivative  That is :

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A: Given h(x)=x2-12x-1

Q: ider the graph of the function f(x)= x^3-6x^2+8x/x^2-2x-8 Which is a removable discontinuity for…

A: The function is given  fx=x3-6x2+8xx2-2x-8. To determine the removable discontinuity for the…

Q: Which of the following statements about the function y = ƒ(x)graphed here are true, and which are…

A: the graph of the function y=f(x) is given. the given statement is f(0)=0. we have to tell whether…

Q: Determine whether  the following statement is true or false, and explain why. If ƒ″(c) = 0, the…

A: The given statement is true.

Q: State whether the following statement is true or false. The graph of the reciprocal function f(x) =…

A:

Q: Consider the graph of the function f(x)= x^2-16/x^3-5x^2+4x Where is the removable discontinuity?…

A: The given function is fx=x2-16x3-5x2+4x. The removable discontinuity points are those points, where…

Q: Consider the following. (x² - 2, f(x) = xS0 5x + 2, x > 0 Sketch the graph of the function. y y 10…

A: Given f(x) = x2-2,x≤05x+2,x&gt;0 We know, when the two-sided limit exists, but is not equal to the…

Q: Sketch the graph of the following function and find any discontimuities x2-1 f(x) = %3D x-1

A:

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A: we have to determine the intervals where the graph of the function is concave upward or concave…

Q: 1. f(x) = {.x -4 2, r=4

A: 1- Given- fx=5x-4   x≠42,     x=4 To find- The value of x at which the function is a discontinuous.

Q: ) Consider the following graph of a function y = f(x): %3D -1 2 3 4 6 -1 -2

A:

Q: Does the following graph represent a function that satisfies the following condition f0) = -2, lim…

A: Topic:- calculus

Q: Use the graph of f (x) = x² below to find a number & such that a2 – 1 < 0.1 whenever 0 < |æ – 1| <…

A: Consider the given information. fx=x2 and x2-1&lt;0.1 Now, use the graph.…

Q: Which of the following describes the end behavior of the graph of the function f (æ) = –3x4? As x →…

A:

Q: Consider the following graph of f(x). Which of the following are inflection points off?

A: From the given graph, it can be concluded that the graph is concave down from x=-6.5 to x=-2 and the…

Q: Use the following graph of a function f to determine y to the nearest integer for y = f(1).

A:

Q: Use the graph of f(x) = x² below to find a number & such that ² -1 < 0.1 whenever 0 < |x-1|< 8. y 8…

A:

Q: Sketch the graph of the function f to determine the type of discontinuity at each x-value. x2 +2, if…

A:

Q: Use the given graph of the function to find the x-values for which f is discontinuous. Answer…

A:

Q: Use the given graph of the function J to determine the type of discontinuity at each x-value.

A: Here given the graph of function f as shown below

Q: Show that if f(x)  = x4 , then  f"(0)  =0, but  (0, 0)is not aninflection point of the graph of f.

A:

Q: Sketch a graph of one function y = f(r) that satisfies all of the following properties:

A:

Q: Z-3 f(2) = (z – 3)(x – 1)

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: What will be the orientation of the curve of the graph of the function f(x) = 3 on (-3,0)? z² z+3 O…

A: Given the function f(x) = x2x+3on -3, 0. To find the orientation of the graph of the given function.…

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

A: Given: Graph of the function:

Q: Show that the graph of the function h is symmetric about the origin, given that h(x) = (1 + x2)/(x…

A:

Q: Graphs of the functions f and g are given. y A -2 0

A:

Q: if x1

A:

Q: Consider the graph of the function f(x) =x^2-9/x^3-2x^2-15x Where is the removable discontinuity?…

A: Given the function, f(x)=x2-9x3-2x2-15x    ⋯⋯(1) Rewriting equation (1),…

Q: Find all points of discontinuity of the following functions and tell which type of discontinuity it…

A: We will find the the points of the discontinuity and their type as following

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: