Describe the concavity of the function f (z) = O The graph is concave down for x < 0 and concave up for x > 0. O The graph is concave up for x < 0 and concave down for x > 0. O The graph is concave up for x< 0 and concave up for x > 0. O The graph is concave down for x< 0 and concave down for x > 0.

Q: Find the composition of the function. f(2) = 1° and g(z) = z Find f(g(z)).

A: To find the composition of the function

Q: Find the value of a that makes the following function differentiable for all values of x. ax if x<0…

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Q: Find the function, f(x), that meets all the following conditions: 1). f'(x) = 2x and 2). it's…

A: ∫xndx = xn+1n+1 + C ,where 'C' is the constant of integration.

Q: The graph of a function f is shown below. YA f a Graph b 1. Which grap is an antiderivative of f?

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Q: (x² + 2 , x² – xk – 3 , x 5 7. Find the value of K that makes the function f(x) = Continuous at x =…

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Q: Q.1: The function f(x) = . is define on ±3. if yes how, if no, why. Justifies your answer. also…

A: fx=1x2-9 When x=±3,  x2-9=±32-9=9-9=0 Therefore the value of the denominator of given function is…

Q: 5x Describe the concavity of the function f (x) = x-3 O The graph is concave up for x > 3 and…

A: Given f(x)=5xx-3

Q: Graphs of f(x) (solid) and g(x) (dashed) are given below. Use them to find the following ves. Show…

A: The given graph of functions is as follows:

Q: Inspect the graph of the function to determine whether it is increasing or decreasing on the given…

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Q: A crate open at the top has vertical sides, a square bottom, and a volume of 256 cubic meters. Using…

A: Given,          A crate open at the top has vertical sides, a square bottom, and a volume of 256…

Q: V. Directions: Find the extreme values of the given functions within the indicate 42-44. ƒ (x) = x²…

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Q: the formula for (f • g)(x) and simplify your answer. Then find the domain for (f g)(x). ary.

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Q: Find the value of f(4) for the function. f(x) = - 3(x + 2) f(4) = (Simplify your answer.) %3D

A: To find the required value put x is equal to 4 in the given equation.

Q: Find the value f(0) for the function f(x)=2/x

A: Given: f(x)=2x

Q: 1 Express the function h(x) in the form fog. If g(x) = (x + 9), find the function f(r). Your answer…

A: hx=1x+9 &amp; gx=x+9 The function hx=1x+9 is the composition of two functions namely fx=1x &amp;…

Q: function is increasing as x approaches negative infinity and decreasing as x approaches positive…

A: given function is                                                                    f(x)=(x+4)(x-5)…

Q: Find the constant a that makes the function continuous for all values of x ?       f(x) =   4sinx/x…

A: Given          fx=4sinxx   ,   x&lt;0a-2x     ,x≥0    We have to find value of a that makes the…

Q: 3, Find f(x+h) when f(x) = -3x²+2x +5 %3D

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Q: nverse We want to determine whether f(x).=3 5a Find f(g(x)). f(g(x)) = Enter your next step here %3D

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Q: 1 Consider the function f(x) = The value of f'(0) is: (x + 1)² ° (a) 1

A: Given:fx=1x+12To find:  f'0

Q: f(x)= (x)/(x-6). Find a function y=g(x) so that (f o g)(x)=2x. Can you please explain how to solve…

A: The given functions are,

Q: Consider the function f(x) = 2r + 3r² – 7. a) Find the intervals where the graph of f(r) is…

A: To find the intervals where the graph is increasing and decreasing.   f(x) = 2x3+3x2-7.

Q: Consider the following function. 2x x-7 f(x) = Describe the local behavior of the function. f(x) is…

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Q: 1. Given the function g(x) = x^2+2x, evaluate [g(x) − g(a)] / [x − a] ,  x ≠ a   2.  Given  f (x) =…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Graphs of f(x) (solid) and g(x) (dashed) are given below. Use them to find the following yes. Show…

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Q: grapi belOW. f(x)= [ Select ] * for x [Select ] • 2. f(x)= [ Select ] * for x [Select] + 2. -5 -4 -3…

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Q: Find the critical points of the function f(x) = x² - 25 x² + x - 30 Use a comma to separate multiple…

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Q: Let f(x) (x + 3)2"(x – 5)13 - e ot I ... aliv. D- y. Part F. Explain and demonstrate how to graph f…

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Q: Describe the concavity of the function f (x) O The graph is concave down for x 0. O The graph is…

A: Please see the below picture for detailed solution.

Q: a) The perimeter of a rectangle is 300 meters and its width is given by y. Express its area as the…

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Q: x+1 For what values of x, the function f(x) is not continuous? x2-x-12

A: For what values of x, the function fx=x+1x2-x-12 is not continuous?

Q: f(x+h)– f(x) For the function f(x) = x-2, find (a) f(x +h), (b) f(x +h) - f(x), and (c) (a) f(x+h)…

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Q: Graph the function: f(x) = -2 for x< 1. Show a T-chart with all of your work. Determine a solution…

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Q: Find the value of a that makes the following function differentiable for all values of x. ax if x<0…

A: we have to find 'a' such that the given function g(x) becomes differentiable  we know that every…

Q: 3. Use the graph below to evaluate: f(-3) = f(-2) = %3D f(-1) = For what x( s) does f (x) =1,…

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Q: Find the value of a that makes the following function differentiable for all values of x. if x< 0 ax…

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Q: Let N=f(H) give the number of days it takes a certain kind of insect to develop as a function of the…

A: definition of domain.

Q: II. Consider the function x<-2 -2 sxS1 1<x x+2 Determine if f(x) is continuous over the given…

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Q: Describe the concavity of the function f (x) = x' 3x + 6 O The graph is concave up for x 0. O The…

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Can i get help step by step with this problem?

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Q: Need help with the steps for each one

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Q: The graph of / (in blue) is translated a whole number of units horizontally and vertically to obtain…

A: to shift graph horizontally to shift left a is positive,  to shift right a is negative    to shift…

Q: The domain of the function f(x) = sech 10) is (A, 22], Ther k The value of k = The value of A =

A: We have to find domain

Q: For this week's discussion, you are asked to generate a continuous and differentiable function f(x)…

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Q: Find the domain and range of the function f(x) = Vx + 7. (HINT: you can't have a negative number…

A: Givenf(x)=x+7

Q: x = -3 9 x = 1 For what value of c is the function f (x) = continuous at æ = -3? 22 -9 (x+3)(x-5)…

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Q: x-4 ,X5 Given: f(x): , find the value of k that will make f continuous on (-00,00) kx2 - 24x + 46…

A: Solution.

Q: Give an example of a derivable function f (x) with f ′ (- 4) = - 1

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Q: Consider the function below. f(x) = x° – 9x² + 24x – 17 Answer the questions below Part 1: Enter…

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Q: fa=2 Vixi Which of the following is correct for the function For x0 the graph of ftx) is concave up.…

A: Given f(x)=|x|

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.