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 -1 1 13 x

Q: Draw the graph of f(x) and discuss its differentiability at x = 1

A: It is given that fx=x2x≤1xx>1. Recall the fact that formula for derivative of a function f at a…

Q: True or false: The graph of the reciprocal function f(x) =1/x has a break and is composed of two…

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Q: How might you restrict the domain of f(x) = x2, graphed in Figure 1.71, so that the remaining…

A: Given that, f(x)=x2 We have to Find How to restrict the domain of f(x)=x2  So that the remaining…

Q: 4. If f(x) = ax³ + bx², determine a and b so that the graph of f will have a point of inflection at…

A: If fx=ax3+bx2, then to determine a and b so that the graph of f will have a point of inflection at…

Q: List the x-values in the graph at which the function is not differentiable. 3 -2 - 1 1 3,

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Q: For what value of k will the function f be continuous on (-∞, 0)? { x2 – 16 if x + -4 f(x) = x + 4 k…

A: We have to find

Q: For what value of the constant c is the function f continuous on (-∞, 00)? cx2 + 2x if x 2.

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Q: F(X)

A: y = f(x) is continuous at x = a  only if following properties are satisfy : (1)  f(a) exists . (2)…

Q: Suppose the function y = f(x) is increasing on the interval (−1, 5).• Over what interval is the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The function is discontinuous at x= -4. At this point, is f continuous from the right, left, or…

A: A function f is said to be right continuous at a point a if it is defined on an interval and if…

Q: If r is a zero of even multiplicity, how come the graph of f doesn’t just cross the x-axis at r?

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Q: Find the value of the constant bl that makes the following function continuous on (-∞, ∞). if x 6|…

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Q: The heights on the graph of f'(x) correspond to the slopes of the lines tangent to the graph of f.…

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Q: For which values of x is the function below NOT continuous?

A: To find out the values of x at which the function is discontinuous.

Q: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = f(x), evaluate…

A: Finding the g'(4) from the given conditions.

Q: Here is the graph of the function h(x)on the interval (-5, 5), and part of a line tangent to h(x) at…

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Q: 1. Find x- and y- intercepts of the graph of f, if it has any.

A: Note: As you have posted the multiple numbers of questions, so we are going to solve the 1st…

Q: For what value of the constant k is the function f continuous on (-∞, 0)? 5x2 – kx + 7 if x 7 k =

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Q: The graph of f(x) = is (increasing/decreasing) over its domain. 3 ()

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Q: Is the function below continuous at x = -5? f(x)=x3−2x2+5x+1

A: We are to simplify

Q: Is the function given by g(x) = x²-3x continuous at x = 4? Why or why not?

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Q: The line tangent to the graph of g(x) = x³ – 4x +1 at the point (2, 1) is given by the formula L(x)…

A: To select: The correct options. Given: The function is g(x)=x3-4x+1 and the line tangent to the…

Q: Give three characterizations of what it means for the graph of f (x) to be concave up at x = 2.…

A: Consider the given information as The graph of fxto be concave up at x=2. Concave down.

Q: The graph of f(x) is given on the grid. Graph f'(x), its derivative. 05 4 -8 -7/-6 -5 -4 -3 -2 -1 I…

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Q: A function has a y-intercept of 2 and is increasing for values of the domain greater than 4. Which…

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Q: Find the points on the graph of f(x) = 2x3 + 15x2 - 84x + 12 where the tangent is horizontal. List…

A: we have to find the points on the graph of the function f(x) = 2x3 + 15x2 - 84x + 12 where the…

Q: The function f  whose graph is given has a discontinuity at x=4 since  does not exist. Prove true…

A: Topic:- function

Q: Use the graph of y f(x) to graph the function g(x) - -f(x).

A: The given function is a piecewise function. Mention the points on the graph.

Q: The tangent line to the graph of a function f at the point x =2 has x-intercept 10/3 and y-intercept…

A: Given query is to find f(2) and f'(2)

Q: On what domain is the function f(x)=x^2+7x−6 continuous?

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Q: Which is the graph of the function f ( x ) = { x 2 if  x ≤ 1 x − 1 if  x > 1 ?

A: Given function is fx=x2    ; if x≤1x-1; if x>1 Point of discontinuity for the given function is…

Q: 6. Find the length of the curve given by the graph of the function f(x) = x/x, for x in [1,4].…

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Q: On what domain is the function f(x) = 3x + 5x + 6 continuous?

A: The given function is, fx=3x2+5x+6

Q: The graph of  f(x)  and a line tangent to the curve at  x = 4  are shown. If  g(x) = sqrt(f(x))…

A: In the question it is asked to calculate the value of g'(4) for g(x)=f(x). for the graph given…

Q: 2. How does the value of a affect the graph of the general function ru y = af(x - h) + k? 3. How…

A: a decides the direction of parabola. If it is positive graph opens upwards, if it is negative, graph…

Q: Use the graph of y = f(x) to sketch the graph of f'(x). 10+ 9. 8+ 7+ 6+ 5- 4+ 10 -9 -8 -7 -6 -5 -4…

A: The point of inflection for the graph is obtained as .

Q: For the function f(x) and g(x) given in the graph y --L-J--L-J-- () : /f(x) --- find the…

A: According to the given graph of functions g(0)=2 g(-3)=3 f(2)=-2 f(3)=0

Q: The graph on the left was created by transforming f(x) = x'. Determine the equation of the graph.…

A: We need to determine equation of graph.

Q: 5) The graph of the function f(x) = 4-x has an inflection point at

A: Given: fx=x4-x We know that for any function, inflection point are points where second derivative of…

Q: . Find the length of the graph of the function f (x) =x* + x2 -<x < 3. on the ir

A: The length of the graph of y=f(x) from x=a to x=b is given by:∫ab1+f'(x)2dx f'(x):…

Q: What kind of discontinuity does f(x) = *-3 have at x = 2? X-2

A: A function is said to possess non-removable discontinuity if the limit of the function does not…

Q: The graph of f(x) = x² is transformed to create the graph of h(x) = 2f(x). Which graph best…

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Q: The graph of f (x) = ax+b x²+3x-8 has horizontal tangent at (2, -1). Determine the values of a and…

A: Given query is to find the value of a and b.

Q: Suppose that f(x)=6x^2−2x. Find: a. f'(x)= b.  The slope of the graph of f(x) at x=2 and x=3.…

A: Here we find derivatives and slope of function.

Q: What is the f(x) equation for the graph? also, what would the intervals be for where f(x)0

A: f(x) is the parabola of the the form x2=-4ay   From the given graph it can be observed that…

Q: What is the x-value associated with the extreme point of the following function: 1*1.1^x+ 1*0.2^x?

A: Given Data: Function: fx=1×1.1x+1×0.2x The derivative of the given function is,…

Q: If f (x) is the function whose graph is shown, on which interval is fincreasing? Use cursor to…

A: f(x) is the function whose graph is shown, on which interval is f increasing?

Q: From the graph of f(x), state the reason why f(x) is discontinuous at x = 4 , x = 0 , x = 2 and x =…

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Q: Select all of the graphs that depict a function which is not differentiable at x=0.

A: Here, we need to select all the graphs that depict a function which is not differentiable at x=0.…