For Exercise, use a graphing utility to graph the piecewise-defined function. for x < -1 (-2.7x – 4.1 |k(x) = -x' + 2x + 5 for –1 < x < 2 for x 2 2

Q: Sketch the graph of the function f(x) = ln 2x  and state its domain.

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Q: Find the absolute extrema of the function f (x) = 30x – x² over the interval (-o, 00)

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Q: Find the value of k that makes the function continuous. Justify your answer. 2x – 1, x 2

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Q: Find the intervals on which the function f(x)=x2+1x is increasing and decreasing.

A: We have to find the intervals on which the function f(x)=x2+1/x is increasing and decreasing

Q: Use the graph of the function to estimate the interval on which the function is increasing. -5- 4 3-…

A: GIven problem:-

Q: Find the intervals on which the function y=xx(x&gt;0) is increasing and decreasing.

A: We take ln on both sides of the function

Q: b) For f(x) = x²/(4 – x²), find the intervals in which it is increasing/decreasing, Concave down/up,…

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Q: f(x)% = x- 3x3 + 2x2-5x-7 at x = -1 %3D vnaud

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Q: Find the absolute extrema of the function on the closed interval.

A: Find the derivative for g(x).…

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: Use the given graph of the function to find the r-values for which f is not differentiable.

A: The function fx is not differentiable at any point x=c, in the following cases, 1) fx is not…

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

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Q: Sketch the graph of the function and state its domain.

A: Given a function f(x)=ln 2x To find the domain : The domain is given by all the values of x where…

Q: Locate the discontinuities of the function. 2 f(x) = 1 + e7/x

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Q: 3 Determine the intervals for which the function f(x) = x° + 18x +2, is decreasing.

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Q: f(x) = x2 -4x-2 at x = 1 %3D %3D

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Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

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Q: f(x) at x = - 3 X-3

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Q: 4. Using at 7 points, graph the function f(x)=2x

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Q: Use the first derivative test to determine the intervals where f(x) is increasing and decreasing and…

A: To find critical point put f'(x) = 0 If f'(x) &gt; 0 at each point in an interval I , then f(x) said…

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

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Q: Does y = e9-x* – 2 exist? What is the domain & range of the function if it does exist?

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Q: Use the definitions of increasing and decreasing functions to prove that       f(x) = x3 is…

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Q: f(x): at x = 3 X-3 f(x) = at x = 0 f(x)%3D%x6 at x - 0

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Q: Q3) if the continuous function is : 4x+1 F(x) -+k at x= h. Find the value of h,k.

A: 3). Given function is:   fx=4x+1x&lt;hx3+kx=hx2+1x&gt;h Solution: A function fx is continuous at x=h…

Q: Sketch the graph of f(x) = x lxl. Then show that f '(0) exists.

A: A function is a relation which maps each value in domain to exactly one value in range.  For a…

Q: Find the absolute extrema of the function on the closed interval. 3 f(x) = x³ – , [-1,2]

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Q: f(x): 2x at x = 4 x2-3 f(x) = V3x - 10 at x = 2

A: According to question,a. Given function,fx = 2xx2 - 3

Q: Find the absolute extrema of the function on the closed interval.

A: We have to find absolute extrema of the function on the given close interval: fx=x3-32x2,    -1, 2…

Q: : Find the value of k that makes function continuous at x = 5 5x? – k x 5 f(x) =

A: Limit of a function at a point exists if the left-handed limit and right-handed limits at that point…

Q: Use Intermediate Vaule Tun to show that the functions f(x) = x^3 and g(x) = 2x + 3 intersect at at…

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Q: Find the value for k so that the function will be continuous at x = 1. - 5x2 - 30x + 35 - 10 if x <…

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Q: Find a formula for a function that has vertical asymptotes x = 3 and x = 9 and horizontal asymptote…

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Q: find the value of the constant (a, b, or c) that makes the function continuous

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Q: Find the point on the graph of f(x)=4−x2 that is closest to the point (0,1).

A: To find the point on the graph of fx=4-x2 that is closest to the point (0,1)

Q: Make a graph of the functionƒ(x) , for x ≥ 1. Be sure to include all of the evidenceyou used to…

A: Given:  The function fx=∫1xdtt for x≥1, To sketch: The graph of fx for x≥1,

Q: Locate the absolute extrema of the function f(x)=x'-12x on the closed interval [0, 3].

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Q: Find the point on the graph of f (x) = 4 − x2 that is closest to the point (0 , 1).

A: Given function f(x)=4-x2 To find the point on the graph of f which is closest to the point (0,1)

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 value k that makes the function continuous. Ska², f (æ) = x > 2 kx + 12, x < 2

A: Topic - continuity Function is continuous If its left hand linit is equal to right hand limit and…

Q: Use the graph to determine the values of x at which the function is not continuous.   x=

A: Given the graph of the function

Q: Sketch the graph of the function f(x) = ln x − 4 and state its domain.

A: Consider the function: fx=lnx-4 To sketch the graph of the function:

Q: Q4:- Sketch the following functions showing the detailed steps in different graphs: h) f(x) = |Inx|

A: Sketch the following function showing in the given expression.  f(x) = 1/|lnx|

Q: Find the open intervals on which the function is increasing y = x/100 – x²

A: A function is said to be increasing in an interval its derivative is positive in that interval.

Q: The graph of function f(x) = x – 9x² + 7x is concave upwards on (-0, c0) O (-∞, 3) O (3, 0) O None

A: Given function is  f(x)= x^3 - 9x^2 + 7x

Q: Find the value for k so that the function will be continuous at x = -4. f(x) = 7x + 47 -x² + 18x81+k…

A: Topic = Functions

Q: Find the open intervals on which the function is increasing or decreasing.       y = x√(16 − x2)

A: The given function is , y=x16-x2

Q: Find the open intervals on which the function is increasing or decreasing.        h(x) = 12x − x3

A: Given function - h(x) = 12x-x3let's find the critical point of the function h(x) , by h'(x) =…