Determine where the graph of the function is concave upward and where it is concave downward. (Enter your answers using interval notation. If the answer cannot be expressed as an interval, enter EMPTY or ∅.) g(x) = −x2 + 8x + 3

Q: Find the domain of the function: h(x) = √(3x + 12)

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Q: Determine the end behavior of the graph of the function. f(x)=8x6+3x5+3x4+7

A: To know the end behaviour of the function, we need to substitute the value of x where it ends in the…

Q: R(x) = (x-2)2

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Q: In the given question , find the two x-intercepts of the function f and show that f'(x)=0 at some…

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Q: Find the domain of the function : g(x) = √(5x + 35)

A: We can not have negative number inside a square root.  So,  5x+35≥0 or, 5x≥-35 or, x≥-7

Q: Use the graph of y = f(x) to graph the function g(x) = 2f y = f(x) 42 6.

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Given, the function g(x) = 3x3 – 9x, we have to check whether the function is concave upward or…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Concavity.

Q: For the function g(x) = x² the value of g(2 + h) is: 04+h? 04+4h + h² O2+h?

A: Given Data: Function: g(x)=x2 ......(1) The value g(2+h) can be obtained by substituting the…

Q: f (2) = x-x-6 x2 +5x+6 Which graphs shows the function

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Q: Find the zeros of the function f(x) = 3x + 18 algebraically.

A: Given;            fx=3x+18 Solve for x:          3x+18=0

Q: The path of Morgan's dive off of a 3 foot diving board is shown by the function: h(x) = – a² + 2x +…

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Q: Find the x- and y-intercepts of the graph of the function f(x) = -2 |x-5| +2. Enter your answers as…

A: Let,  y=-2|x-5|+2

Q: Find the domain of the function:h(x) = 6/(x2 − 4x).

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Q: Find the domain and range of the function. g(x) = x2 − 5

A: Given: gx=x2-5 we know that for any quadratic function whose coefficient of x2 is positive domain is…

Q: Determine whether the function y = -3x4is increasing or decreasing fora. x < 0. b. x > 0.

A: Given- y=-3x4 To find- Determine whether the above function is increasing or decreasing for a. x…

Q: State whether f(x) has a maximum value or a minimum value, and find that value. f(x) = 2x2 - 20x – 1…

A: Solve by derivative

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Topic : concave upward and downward

Q: If f (x) =ax³+ bx² , determine a & b so that the graph of f will have a point of inflection at (1,2)

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Q: Evaluate the function at the given value of the indépendant variable and simplify . g(x)=x^2-10x-3…

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Q: Consider the function g(x) = 3x² – 4. Write the equation for g-1.

A: To find the inverse of the given function.

Q: find the maximum or minimum value of the function a)f(x)=3x^2-18x-160 b)g(x)=100x^2-1100x

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Q: x²+7x Consider the graph of the function f (x) = x3 –5x²–14x' Where is the removable discontinuity?…

A: We will factor both numerator and denominator

Q: How many x-intercepts would the function shown below have? f (æ) = (x² + 4)(æ² – 3)(x – 8)² -

A: We have to find out how many x intercepts.  And we have given a function.  For x intercepts we can…

Q: Given the function g(x)=−9x^3 Find x when g(x) = -243

A: Answer

Q: ind the inflection point, if any, of the function. (If an answer does not exist, enter DNE.) g(x) =…

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Q: (b) y 4. -2 9%= -2 4 -6 -8f y =

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Q: The function  y = 4 − 16x2  intersects the x-axis at the following values of x.

A: Consider the parabola equation y = 4-16x2. Remember that the yth coordinate of the points on the…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Given function is

Q: . Given f(x)=-x²+4x+12, 05x58: (a) Carefully, graph f(x), 0sxs8.

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Q: f(x) = x° + 2x² - 7 6.2

A: The given function, f(x)=x6+2x2-7

Q: Find the domain of the function g (x)=/-4x+24

A: Given,           The function is gx=-4x+24.

Q: Calculate the values of x for which the function y = -3x? + 4x + 2 is strictly decreasing.

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Q: State whether f(x) has a maximum value or a minimum value, and find that value. f(x) = 2x2 – 4x – 2…

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Q: 29. f(x) = -3x² + 5 (0,5)

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Q: Determine whether the function y = -3x2is increasing or decreasinga. For x < 0. b. For x > 0.

A: Given, y=-3x2Differentiating both sides w.r.t x we get:dydx=ddx(-3x2)⇒dydx=-6x…

Q: Given the function y=2x2+12x+16, write this in the form y=a(x-h)2+k and sketch the graph of the…

A: The given function is y=2x2+12x+16. Here we have to write the function in the general form of the…

Q: Find the x- and y-intercepts of the graph of the function f(x)=−2|x+5|+2.

A: The graph of the function is

Q: Find the domain of the function: h(x) = √(9x - 27)

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Q: Find the domain and range of the function f(x) = x2 + 3

A: The given function is fx=x2+3. To find: the domain and range. Solution: The function is fx=x2+3, and…

Q: Find the inflection point, if any, of the function. (If an answer does not exist, enter DNE.) g(x) =…

A: We have to find the inflection point

Q: Find the x- and y-intercepts of the graph of the given function. Do not graph. f(x) : = x37X + 3x27x…

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Q: function

A: Please refer to the image below

Q: Find the domain of the function, f(x) = 3x+6

A: EXPLANATION : fx = 3x+6 is the exponential function , there are no restrictions of the inputs on…

Q: R(x) = (x-2)2

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Q: Find the maximum value or minimum value for the function. f (x ) = -x2 + 6x + 4

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Q: f (x) = x + 2x - 8x2 - 18x - 9, Which graphs shows the function -10 -15 -15

A: Here we have to graph the function        f(x) = x4 + 2x3 - 8x2 - 18x -9 .

Q: or what value of X does the function g(x) = 1/3 X3 - 2x2 attain the point of inflexion?

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Q: Find the zeros of the function algebraically. x2 – 10x + 16 f (x)= 7x

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