For which numbers a is the function f(x) = a" decreasing? %3D (a) a < -1 (b) –1 < a < 0 (c) 0 < a <1 (d) 1

Q: Find the values of x at which the function has a possible relative maximum or minimum point. (Recall…

A: Given the function fx=1-xe2x The derivative of the function will be f'x=2e2x-2xe2x+e2x…

Q: The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s) on

A: A function is increasing if its slope is positive A function is decreasing if its slope is negative

Q: The derivative of a function is f'(x) x(x + 2)(x - 4). Find the value of x at each point %3D where…

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Q: The graph of f is shown in the figure.(a) For which values of x is f′(x) zero? Positive? Negative?…

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Q: a) Determine the intervals that the function F(x) - х - 3x - 24х It is increasing and decreasing b)…

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Q: Consider the function f(x) = x- 3 ln(x), <a < 5. The absolute maximum value is 3 and this occurs at…

A: First we have to find the critical points of the function. Then, check the values of the function at…

Q: For which interval(s) is the function increasing and decreasing? y- |2x* + x - | +X- 3 increasing…

A: we use the property of modulus function. and parabola..

Q: ind the average rate of change of the function from x1 to x2. 3) f(x) = -3x2 - x from x1 =5 to x2 =…

A: Use formula of avg rate of change

Q: 3x-4x+1 if x + 1 if x = 1 3. Given the graph of the function f(x) = complete the table. X-1…

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Q: 7) Find the value of k that makes the function continuous. Is the function differentiable at x = 2…

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Q: uppose a tour guide has a bus that holds a maximum of 110 people. Assume his profit (in dollars) for…

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Q: rerage rate of change given g(x) = 4x – 3x + 5 from a = - 3 to z = 3:

A: Find average rate of change

Q: For the function f(x)= ln x/ x (a) What is the domain? (b) Find the intervals of increase, decrease.…

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Q: The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s)

A: Given the graph .draw lines on the graph where it changes direction

Q: Write an equation for a function that has a Vertical Asymptote at x=2, a hole at x=0, and x-int at…

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Q: Find the interval(s) where the function is increasing and interval(s) where its decreasing. 1- x2 2.…

A: We need to find the intervals in which the given function is increasing and decreasing.

Q: t is a fact that the function  f(x) = x(161/x − 1) has a limiting value. Use a table of values to…

A: We need to find limiting value.

Q: For the drug metabolism function f(x) = -x(x+2)(x-3) , find the average rate of change of f(x) on…

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Q: Find the values of x at which the function has a possible relative maximum or minimum point. (Recall…

A: fx=1+xe−3x

Q: The function graphed above is: Increasing on the interval(s) Decreasing on the interval (s)

A: Here we have to find the a) Increasing interval b) Decreasing interval of the graph.

Q: The function graphed above is: Increasing on the interval (s) Decreasing on the interval(s)

A: The graph of the function is increasing on the interval [-1, 2.5].

Q: 8. Find where f(x) is increasing, decreasing, and local extrema.

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Q: Find the average rate of change of the function f(x) = 1x² – 7x- 8, on the interval x E [1,5]. |…

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Q: Two business students at Brock University decided to open a small company together to sell their own…

A: We have the following information

Q: 6+ f(x) 5- 4- Use the graph of f(x) to evaluate the following: 2- -1 1 3 4 -1+ The average rate of…

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Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given function is fx=23x3-x2-4x+2. To find the critical number and the open intervals where function…

Q: 3 7 h(x) 7 22 h’(x) 5 10 Selected values of the increasing function h and its derivative h’ are…

A: We will use the table to solve the question.

Q: 6. g (x) = 2x2 -9 on [4, b Find the average rate of change of each function on the interval…

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Q: ニ +る X.

A: the interval(s) where the function is increasing and the interval(s) where it is decreasing.

Q: 7. Find the exact x-value where the function f(x) = x + ln (x² − 1) attains a maximum value. An…

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Q: etermine the intervals where the function f(x) = x 2 e −x is increasing and where it is decreasing

A: Determine the intervals where the function f(x) = x 2 e −x is increasing and where it is…

Q: X-9 At what x- values is f(x) not differentiable?

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Q: What happens to the function f (x) = (x – 1)² + 1 when it becomes f'(x) = ((x – 1)² + 1)? O It is…

A: We have to find out the rule

Q: 3 - x xs 2) Q4// Let f(x) = } +1 ,x> 25 x I) Graph the Function II) Is f continuous at x-2 ? why?

A: Given, f(x)=3-x,              x≤2x2+1 ,            x&gt;2

Q: The limit below represents the derivative of some function f(x) at some number a. 5(2 + h) – 160 lim…

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Q: 16. The first derivative of the function f is given by f'(x) = 3x* – 12x'. What are the…

A: Given: first derivative of a function as f'(x)=3x4-12x3To identify the points of inflection of…

Q: Given f(x) = x^3- 3x^2 – 1. Use the first or second derivative tests to: a) Find the relative…

A: We find the first two derivatives using the power rule

Q: 7. Find the exact x-value where the function f (x) = x +ln (x² – 1) attains a maximum value. An…

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Q: B1(a): Find the value of k that makes function continuous at x = 4 S3x + 8 x > 4 f(x) = 4x – k x < 4…

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Q: The function f is increasing when x e The function f is decreasing when x E

A: Given that f(x)=x19-x1/3 The objective is to find at which point the function is increasing. Take…

Q: Is f(x)-(2x^3)+ (300/x^3) + 4 increasing, decreasing or not changing at X=-2? * Insufficient Data…

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Q: f(x) • 2-314x +51 f (x) Step 4: Analyze the function. Domain: Range: x-int: yrint: Intervals on…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: The incidence (number of new cases per day) of a contagious disease that is spreading in a…

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Q: The limit below represents the derivative of some function f(x) at some number a. 3(3 + h)* – 243…

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Q: The average rate of change of the function f() = 3x² + 7x - 5 on the interval (0, 3] is O 16 O 10…

A: We need to find the average rate of change of the function f(x) = 3x2+7x-5 on [0, 3]. So,…

Q: For the function given graphically below, select all characteristics that apply. Increasing for x>0…

A: From the given graph we can conclude that- - Given function is increasing for x&gt;0 - Given graph…

Q: The average rate of change of a function f between x = h and x = c is: average rate of change = f(…

A: this is a basic formula there is nothing complex. the solution is in the below step

Q: 1.) Is f(x)=(2x^3) + (300/x^3) + 4 increasing, decreasing or not changing at x=-2?

A: fx=2x3+300x3+4

Q: The graph of f'(x), the derivative of a function f(x), is pictured below on the closed interval…

A: Given graph of derivative of function is