Determine the point(s) at which the given function f(x) is continuous. 14 -3x X 11 f(x) Describe the set of x-values where the function is continuous, using interval notation. (Use interval notation.)

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: We have given the function,f(x) = (x+4)/(Sqrroot 4)

Q: Explain why the function f is continuous at every number in its domain. State the domain. 3v1 f(x)=…

A: Given- f(x)=3v-1v2+2v-15 To find- Why the  function f is continuous at every number in its domain .…

Q: Find the domain of the function. (Enter your answer using interval notation.) h(x) = In(x) + In(6 –…

A: The function is given by hx = lnx+ln6-x To evaluate : The domain of the function.

Q: Determine the intervals on which the given function is positive or negative. x(1+ x) f(x) = (4 – x²)…

A: Givenf(x)=x(1+x)(4-x2)To findIntervals on which given f is positive and negative.

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

A: Solution:Given     f(x)=x2+1x2-1To determine the open interval on which the graph of the functionis…

Q: f(x) = xe-x²/128 [-2, 16]

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Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: Determine the open intervals on which the function f(x) = x3 − 3x2 + 2 is increasing,decreasing, or…

A: f(x)=x3-3x2+2

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: Consider the function f(x)=x2-64x-8,          x≠816,                  x=8 Check the continuity of…

Q: Use the graph of f to determine the range of f. Where applicable, use interval notation.

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Q: Determine the point(s) at which the given function f(x) is continuous. f(x) = 8x + 56 Describe the…

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Q: Determine the open intervals on which the function f(x) = (x2 + x + 1)/(x + 1) is…

A: fx=x2+x+1x+1 Differentiating with respect to x, we get…

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: Determine where the function F(x)= 4x 2 x +49 is continuous. The function is continuous on (Simplify…

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Q: Find the domain of the function. (Enter your answer using interval notation.) h(x) = In(x) + In(5 –…

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Q: Determine the open intervals on which the function f(x) = √(x2 − 1) is increasing,decreasing, or…

A: Given: fx=x2-1 For finding increasing, decreasing interval for given function, we draw graph of it…

Q: Determine the point(s) at which the given function f(x) is continuous. 9 f(x) = , 7x х-2 Describe…

A: Given, f(x)=9x-2-7x

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: Given the function f(x) = x√(x +9) we need to find  the interval where function is continuous. Now,…

Q: I'm not sure how to start it.

A: Recall the following fact.A domain of the function is the set of all x values such that the function…

Q: Determine the point(s) at which the given function f(x) is continuous. f(x) = /5x+ 15 Describe the…

A: Rule: A function f(x)=x is said to be continuous when x≥0.

Q: Let f(x) = x2 + 3x  and g(x) = 3x2-1. Find the function    f . g    (F.g ) (x) =    Find the domain…

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Q: Use calculus and show the test to find the intervals on which f is increasing and decreasing. f(x)…

A: For the solution follow the next step.

Q: Using the first derivation test, explain why the function f(x)= -2x has no extrema on any open…

A: if f(x) is not change then  sign  there will be no extreme value in the open interval

Q: Determine the values of x for which f (x)=x",x >0 is increasing or decreasing.

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Q: Describe the Interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: Determine the domain of the function. g(x) = V8 - x What is the domain? (Type in interval notation.)

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = xe-x²/98…

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Q: Consider for what value of x are the function, f(x) = is defined? 5-x

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Q: Identify the open intervals where the function f(x) = xV14-x is increasing or decreasing.

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Q: Determine if the given function is continuous on the given point and intervals. Зх - 3x – 5, xs-1…

A: We know that, a function fx is said to be continuous at x=α if and only if limx→α-fx=fα=limx→α+fx We…

Q: Determine the open intervals on which the function f(x) = ∣x + 1∣ + ∣x − 1∣ is…

A: f(x) = ∣x + 1∣ + ∣x − 1∣

Q: 81. f(x) = |x – 5|

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Q: Find the absolute maximum and absolute minimum values of f on the given interval F(x) = xex2/98 [-3,…

A: Given function is

Q: Determine the intervals on which the function f(x) = x (x2 - 175) is increasing or decreasing. 1/3…

A: Given function, fx=x13x2-175 Function f(x) increases where f'(x)>0 Function f(x) decreases where…

Q: Use interval notation to write the intervals over which f is (a) increasing, (b) decreasing, and (c)…

A: Given:

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: Q5. Explain why f(x) is not continuous at a. x2 - 25 f(x) = x + 5 if x #-5 a = - 5 if x =-5

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Q: Define f (x) to be the larger of x and 2 - x. Sketch the graph of f. What are its domain and range?…

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Q: 7. Find the intervals for which the function f(x) = x In x ncreasing or decreasing.

A: 7. Here given function as fx=x ln x Differentiate using product rule of the derivative as f'x=ddxx…

Q: Consider the function f(x) = x3 - 3x² – 9x + 4 At what interval is the function increasing? (-0, –1)…

A: Differentiate the given function f(x) with respect to x f'(x)=3x2-6x-9=0x2-2x-3=0(x+1)(x-3)=0x=-1,3…

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: Given,

Q: Determine the point(s) at which the given function f(x) is continuous. 7 f(x) = 2x x-4 Describe the…

A: A function f(x) is said to be continuous on an interval if there is no point of discontinuity in the…

Q: Graph the function f (x) = x3 − x 2 – 6x to estimate the local extrema of the function. Use these to…

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Q: Determine whether the function f is one-to-one.

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Q: Describe the Interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: Determine the point(s) at which the given function f(x) is continuous. f(x)=√6x +30 Describe the set…

A: We have given function  fx=6x+30 Function will be continuous if  6x+30≥0 6x≥-30 x≥-306 x≥-5 Interval…

Q: Determine whether the function g(x)=−x+2  is increasing or decreasing. Justify your conclusion using…

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