For the function g(x)=(x² -16)* +9, a. Find the intervals on which g(x) is concave up and concave down.

Q: Let F(x) = 2x^3 - 5x + 1 Explain, by using the Intermediate Value Theorem, why this function has (…

A: A polynomial function is everywhere continuous. A point x= a is said to be a x- intercept of a…

Q: Find the difference quotient f(x+h)-f(x) for f(x) = x² - 4x. h

A: Here is the solution:

Q: Given the function f, find the slope of the line tangent to the graph of f -1 at the specified point…

A: Given, The function is f(x)=-x2+8 and the point on the graph of f-1(x) is (7,1).

Q: For f'(x) = 100x(2x+3)(x-5), use sign chart to determine the intervals on which f is increasing or…

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Q: For the real-valued functions g (x)= 3x+21 and h (x)=x- 3, find the composition g oh and specify its…

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Q: Use the intermediate value theorem to determine if f(x) = 7 somewhere on the interval [-1,3] for the…

A: Intermediate value theorem :  If a < b are two real numbers and f ( x ) is a polynomial function…

Q: Find the intervals on which f (x) = x2 − 2x − 3 is monotonic.

A: we have to find the interval on which f(x) = x2 − 2x − 3 is monotonic.

Q: Given the function​ f, find the slope of the line tangent to the graph of f-1 at the specified point…

A: Obtain the inverse of the given function as follows:

Q: For the real-valued functions g(x)=√3x+18 and h(x)=x-3, find the composition goh and specify its…

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Q: g(x) = v2 – 3x %3D

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Q: -pose f(x) = (x² – 9)2/3. Find the intervals rvals on which it is decreasing.

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Q: For what value of x is the function f(x) = 4/2x2-6x not continuous?

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Q: Find the intervals on which f(x) =x2-3x+8 is increasing or decreasing

A: Applying the property of increasing and decreasing

Q: For the real-valued functions g(x)= x+4 and h(x)=2x-9, find the composition goh and specify its…

A:

Q: For the function g(x) 3x*-2x2 + 6, find the intervals where the function is concave up and the…

A: Given, g(x)=3x4-2x2+6

Q: Find ao of the function f(x) = (n - x)2

A: The given function is: f(x)=14π-x2

Q: For the function f defined by f(x) = x2 - 4x + 1, find: f(-x)

A: Here given as fx=x2-4x+1

Q: Find the interval in which the function f(x) =xex is decreasing.

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Q: The function f(r) = x - 18x2 is increasing on the intervals

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

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Q: Find the intervals on which the function f(x) = x² - 6x + 10 is increasing and decreasing.

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

A: For the function to be continuous at all point.f(x) must be continuous at x=5 and,x2-c =…

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing.

A: fx=x44-8x33+15x22+8 Differentiating with respect to x, we get f'x=4x34-8·3x23+15·2x2+0=x3-8x2+15x…

Q: Find the absolute extrema of the function f(x) = x* - 72x + 1296 on the interval [-7,7].

A: To find: The absolute extremum of the given function

Q: Determine the interval on which the function f(x) = x2 + 16x+ 13 is increasing.

A:

Q: On which interval is the function f(x) = x2 - 2x - 8 decreasing? A [-2, 4] B (-∞, 4) C…

A: Given, f(x) = x2 - 2x - 8

Q: 4. For the functions f(x) = Vx -3 and g(x) = Vx+2, find and detemine the domain in ease case. a. gf…

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Q: Find f' (x) for ƒ (x) = 8x° – 3e".

A: Given : fx = 8xe - 3ex

Q: 5x f(x): %3D H-7

A:

Q: Find f'(x) for the function. f(x) = 8x3 - x + 1 f'(x) =

A: Given f(x) = 8x3-x+1 We know that d(xn)/dx = n•xn-1

Q: Find the intervals on which the function f(x)=x3+1x3 is strictly decreasing.

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Q: Find f- (x) for f (x) = 1+ 8x. Enter the exact answer.

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Q: Find the interval on which f(x)=x2-4x+3 is increasing and the interval on which it is decreasing

A: Answer

Q: 14. For the function f(x)=ax+bx²-5x+9, determine the values of a and b so that 5(-1)=12 and f'(-1)=3…

A: Explanation of the answer is as follows

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing.

A: Given function is fx=2x5-15x44+5x33. Differentiating the given function with respect to x, we get…

Q: Find the intervals on which the function f(x)=x−4x2 is increasing and decreasing.

A: Given function:

Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: For what value of x is the function f(x)= 4/2x2 - 6x not continuous?

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Q: For the function f(x)= -1x, find f(X th)-f(x) %3D

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

A: Given, f(x)=2x+9x-1x≤3-4x+cx>3

Q: Find the intervals of concavity and the inflection points of f. f (x) = x³ – 3x² – 9x + 2 -

A: Given, f(x)=x3-3x2-9x+2

Q: Consider the function y = 3x2+2x-4. What is the exact value of C in the interval [-2, 4] such that…

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Q: For the function f(x) 2 -x'

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Q: For the f(x) = -x2 +3x + 6 determine the coordinates of the turning point (s) and any point (s) of…

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Q: Given the function f (x) = 10 + 5x³ – 3x³, identify the interval(s) where the function is concave…

A: Given:      f(x) = 10 + 5x3 - 3x5

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

A: Use second derivative for find the increasing interval and decreasing interval.

Q: B2. For the function f(x) = 2x³ – 18x?, determine the intervals where f is increasing and…

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Q: Find the absolute extrema of f(x) = 2x³ – 21x² + 72x on the closed interval [0, 5].

A: