Evaluate each function for the given domain values. 4) f(x) = 4x3 + 5x2 f(x) 4 -2 -5

Q: If f(x) = 3x2 - 7x, find f(x + h) - f(x).

A: Given function is fx=3x2-7x. Obtain f(x + h). fx+h=3x+h2-7x+h=3x2+2xh+h2-7x-7h=3x2+6xh+3h2-7x-7h

Q: If f(x) = -x? – x - 4, find f(-2), f(0), and f(4). %3D

A: The given function of x is fx=-x2-x-4 To find the value of function at f-2, f0 and f4

Q: Find the domain of the function: f(x) = x2 - 7x

A: Given   The function is f(x) = x2 - 7x

Q: s(x)= Vzx-10 С.

A:

Q: find the domain and range ƒ(x) = 1 + x2

A: Here the give function

Q: Find the domain for the function. X-3 V3x-2 a) (-0, 00) b) (- ∞, 3) U (3, 0)

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Q: Not sure why I got this problem wrong.

A: Part(a) Guven function

Q: Determine f(x) given that f'(x) = 12x2 – 4x and f(-3) = 17

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Q: Find the domain and range of the function f if  f (x) = - (x + 2) 2

A:

Q: Find points of inflection(if any) f(x)=2x4-12x2+5

A: Given function is Firstly, we will find f''(x) Now,

Q: Find the domain of the function: f(x) = x2 + x - 12

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Q: 2. f(x) = 3-x %3D X-7

A: Let's find.

Q: Find the domain of: f(x) = x2 - x + 5

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Q: Find the range of the function f(x) = 1/3x-5, if the domain is { -3, 0, 6}

A: f(x)=13x-5Domain is -3,0,6substitute x=-3f(-3)=13(-3)-5=1-9-5=-114

Q: Determine f '(x) for the function

A: The derivative of the function is computed as follows.

Q: 5. If f(x) = x – 4, find f(-2)

A: Given :                 f(x) = x2 - 4 To find :               f(-2)

Q: Find the intervals of increase and decrease for the given function. f (x) = 3x5 - 20x³ - 5

A:

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: 9. What is the domain and range of the function f(x) = x² + 4

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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: Determine the end behavior of the following function as x → –: 6x2 – 7x – 9 - t(x) - 3x4 – 2x3 |

A:

Q: Determine where the function is convace upward   f(x)=-5x2-8x+5

A: A function is concave upward when it's second derivative is greater than zero. If the second…

Q: Find the domain and range of the function. (Usel interval notation.) f(x) = 9x

A:

Q: Find the minimum value or maximum value of (a) f(x) = 4x^2 + 16x - 3 and (b) h(x) = -x^2 + 5x + 9.…

A: f(x)=4x2+16x-3 The value of a=4 that is positive So we will get minimum value find out vertex we get…

Q: Evaluate the piecewise function at the given value of the independent variable. 13) f(x) = -3x-1…

A:

Q: A student writes the following for the function f(x) = (x-2)/(x^2-8x+8): "The domain of f(x) is…

A: Given: x-2x2-8x+8

Q: Find the value of x if f(x) = 4x - 8

A: We have to find the value of x  If f(x) = 4x - 8 Put f(x) = 0

Q: If  f(2)=−3 , determine the value of k in the function  f(x)=−2x^2+kx

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Q: The function f(x) = -(x + 3)² - 4 has a vertex of (-3, -4).

A:

Q: Use a graphing calculator to find the value of f (x) when x =3 for the function f (x) =-x2-2. f (3)…

A: Please refer the attached image for complete solution.

Q: Find the inflection points of the function f(x)=3x5+5x4−20x3.

A: Given function: f(x)=3x5+5x4−20x3. Now, An inflection point is a point on the graph where the double…

Q: If f(x) = -x2 + 2x, find f(2) - 6. If g(x) = 3x - 2, find g(7) + g(-5)

A: To find the value of a function at a point we substitute the value in the definition of the…

Q: Find the domain of f(x)= 1/ x-6

A:

Q: x*+8x-20 f(x) = x-9

A: The function is given  by f(x) = x2+8x-20x2-9 To evaluate : The values of x for which f(x) = 0

Q: Consider the function f(x) = x* – 4x³ + 4x? + 4

A:

Q: Find the domain of the function : √(x+2)

A: Given function is fx=x+2

Q: Which is the quotient of f(x) if f(x)= 2x? + 3x -5 and g(x)= 3x² -x -2? g(x)'

A:

Q: 2. Write the absolute value function as a piecewise function: f (x) =2|1-x|+ 3

A:

Q: Find the function f(x)=4x-5 if the domain is {-2,-1,3} what is the range

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Q: 2x + 2 6x³ +5x² - 4x y = 3

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Q: 13x-8: x =

A:

Q: Determine the end behavior of the following function as x → -o: 49x2 – 3 - r(x): -9x 3 -

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Q: raph the function. 2x +3, if x < 0 14) f(x) = . x2 - 4 ifx2 0

A: The graph is a combination of a straight line in case of 2x+3 and a parabola in case of x2-4:…

Q: Find the domain of f(x) = √x−7

A: The domain of a function can be defined as set of all possible inputs of the function. when we find…

Q: Find the domain of the function.

A: Given: fx=1x-3 To Find: Domain of the given function

Q: Get the coordinates and the graph of the piecewise function. f(x) = 2x + 1, if x ≥ 2 f(x) = x - 1,…

A:

Q: Match the function with its graph. f(x) = 4(x – 1)? II 4- -5- -5 -6 -3 4 -3 2 -1

A:

Q: Determine all the points of inflections of the function f (x) ex²-2x²-5x + 8

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Q: Given the function f(x) = 2x + 8, find the values of a, b and c if f : {1, 2, 3} - {a, b, c}.

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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.