The domain of the piecewise function is ​(−∞​,∞​).   -x if x< 0 x if x > 0   a. Graph the function.  b. Use your graph to determine the​ function's range.

Q: Determine where the graph of the function F(x) =x²-15x downward. Also, find all inflection points of…

A: We need to determine where the graph of the function f(x)=x3-15x is concave upward and where it is…

Q: What is the range of the function f (x) = | x | + 2

A: Given:The function is f(x) = |x| + 2

Q: Find the slope of the graph of the function at the given point. f(x) = 4(9 − x)2;    (9, 0)

A: Given,  The function is f(x) = 4(9 − x)2;    (9, 0).

Q: Match the function with its graph. y = 5(x + 2) - 4 5- -4 -6 -5 4 -3 -2 1 4 6 -6 -5 -4 - -2 -6 -5 4…

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

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Q: Find the slope of the graph of the function at the given point.

A: We have the given function as fx=27x3            ⋯⋯1 In order to find the slope of the given…

Q: Use the graph of the function to identify its domain and its range.

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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: Consider the graph of the function f(x)=(x^2−4 )/ (x^2−12x+20.) Find the x-value of the removable…

A: The function f(x) will have a removal discontinuity at x = a when the function will have a finite…

Q: Find the points on the graph of the function that are closest to the given point. f(x)=x², (0, 9)…

A: Given function is fx=x2  and the point is 0, 9   To Find: The points on the graph of the function…

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given function: f(x)=xx+3

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

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Q: graph the function:f(x)=-2 for x

A: Graph the function: f(x)=-2 for x

Q: escribe the end behavior of the graph of the function  a) f(x)= -4(8)^x -3 as x-->negative…

A: Given function  f(x)=-48x-3

Q: determine where the graph of the function is concave upward and where it is concave downward. g(x)=…

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: Explain how you would graph the function f (x) = -(1/3)x.

A: We have to draw the graph of exponential function: fx=-13x We know the graph of fx=13x,

Q: determine where the graph of the function is concave upward and where it is concave downward. g(x)=…

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x² – 4,…

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Q: Find the range of the function f(x) = 1/3x-5, if the domain is { -3, 0, 6}

A: f(x)=13x-5Domain is -3,0,6substitute x=-3f(-3)=13(-3)-5=1-9-5=-114

Q: A y

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Q: Find the range of the function y = -2|x – 3| + 2. O (-∞,2] O (-∞, ∞) O (-∞, 2) O [2, 0) O [3, ∞) O…

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Q: Match the function with its graph. y = 3(x + 3) – 2 6- -5- 5 4- -6 -5 5 6 -6 -5 -4 -6 -5 5 6 to -2…

A: Given that the equation. So first simplyfy it. Then here a&gt;0 so it is upward parabola and…

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

A: We need to determine the open intervals on which the graph of the function                        y…

Q: Use a graph to find the range of the function f(x)=x2-9, on the domain -3≤x≤4.

A: Substitute the different values of x in f (x) = x^2-9 as shown below in Table 1.

Q: Graph the piecewise function f(x) = {x+1 if x= -2

A: we have to graph

Q: Find the points on the graph of the function that are closest to the given point. F(x)=x², (0, 9)…

A: f(x)=x^2, (0,9)

Q: Determine the function f represented by the graph of the line y= f(x) in the figure. f4.-4P -10 (6.-…

A: equation of line passes through two points (x1 , y1) and ( x2 , y2 ) is :  (x2 - x1) (y - y1 ) = (…

Q: 3. Sketch the graph of the function: ーX if x<-2 fめ12 fx) if-2<x< 2 X-1 if 2ļ x

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Q: What will be the orientation of the curve of the graph of the function f(x) = on (-3,0)? A.…

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Q: Draw the graph of the function f(x)=(2)15

A: This is a problem related to graph of the linear equation. Based on the intercepts value we will…

Q: Use the graph of the function to identify its domain and its range.

A: Given graph of the function is: Domain is the value of x for which function is defined. From the…

Q: Find the slope of the graph of the function at the given value. f(x) = 4x+ 8. when x = 5 %3D

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Q: Find the points on the graph of the function that are closest to the given point. f(x)=x²-3, (0, -1)…

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Q: 3. Determine the domain and range of the function y = 2cosx

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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: For a long-distance phone call, the phone company charges $⁢0.70 for the first 8 minutes or less,…

A: The company charges a constant charge for phone calls if we are using phone calls for first 8…

Q: What is the range of the function below. 1/2 -1 1. -1/2

A: Consider the given figure. Definition of range:- The set of values of the dependent variable for…

Q: Given a function fx) and g(x) = -x+1, how would the graph of y- fx) compare to the graph of %3D y =…

A: The question is based on function transformation and composition. for any graph y=p(x), the graph…

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = x√(9 −…

A: The function is given as x9−x In order to find the inflection point and concavity, second derivative…

Q: 14, Determine the domain and range of the following function. y -3 3 -2

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Q: The domain of the function, y = 3x + 1 is {1, 3, 5, 7}. Identify the range

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Q: A freight delivery company charges $4/kg for any order less than 100 kg and $3.50/kg for any order…

A: Let the weight of the order is x kg. From given information we see that when x varies then total…

Q: Suppose that the graph of a function f is known. Explain how the graph of     y = 4f(x) differs from…

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x ^ 2 - 9…

A: Given function fx=x2-9 The given point is (0,-1) ,To find the closest point on the graph First…

Q: where's the diagram for the piecewise function?

A: Given that, a computer cafe charges their customer $40 per hour.A discount of $10 will be given to a…

Q: Graph the piecewise function below and identify its domain and range 6" 3 for x - 1 2- 1- Domain: -6…

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Q: Determine where the graph of the function is concave upward and where it is concave downward. (Enter…

A: The function g(x)=x1+x2. We have to check where the graph of the function is concave upward and…

Q: Graph the piecewise function f(x) = 4, for x ≤ -2 x+1, for -2<x<3, -x, for x ≥ 3

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Q: Match the function with its graph

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Q: What are the horizontal asymptote and y-intercept for the graph of this function f(x)=2-x+7 ?

A: Given function

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.