Which one of the following functions has a range of all real numbers? O f(z) = V O g(z) = -V %3D O h(x) = VE %3D O j(x) = VT- 10

Q: The range of the function f(x, y) = 6 – V9 – x2 - y? is O (-∞, 6] O (-0, 3] O [3, 00) O [6, 00) O…

A: Given:     f(x,y)=6-9-x2-y2    Range of the function is         9-x2-y2≥0          9≥x2+y2…

Q: Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3 + x2 – x + 9, [-3, 0]

A: Given,          fx=x3+x2-x+9 , -3,0

Q: a function Is defined as f (x) = 2x +3, find the value of f (4). E (4)

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Q: Which of the following is a constant function O a. x= 0 O b. f(x) = 0.25x O . f(x) = O d. g(x) =0

A: We have to find the constant function  We know that ,  The equation of a constant function is of the…

Q: 1.4 For which values of a ER is the function f(x+ iy) = (a²x – axy) + i ax? + ay an entire function?

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Q: Find the absolute maxima and minima for  f(x)  on the interval  [a, b]. f(x) = x3 + x2 − x + 8,…

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Q: Find the absolute extrema of the function on the closed interval.                   h(x) = x − 3√x,…

A: The given function on the closed interval [0,9] is

Q: Based on the graphs of f(x) and g(x), in which interval(s) are both functions increasing?…

A: Domain of g(x) can be broken into following intervals: (-inf,-3), (-3,-1) and (-1,inf) In each…

Q: 1 For what value of x does the function g(x) =x3 =x³ – 2x? strictly convex? А. x> 2 В. х> 0 С. х>-2…

A: The solution are next step..

Q: Find three functions f,g,h that satisfy: f(g(h(x)) = 2

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Q: Find a and b so that the function is both continuous and differentiable. a= b f(x) = (8x³-4x² +3, x…

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Q: 2. Evaluate whether the following initial values is true in the function: y = 4cos-+ e-2x 2.a) 2.b)…

A: Given , y=4 cosx2+e-2x

Q: The range of the function f (x, y) = In(-x² – + 1) is [0; +0) None of these O [0;1] O (-00;0]

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Q: Find a function f(2) such that f (x) = e + 7x and f(0) = - 1 f(x) =

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Q: L. Let h (x) = f (x) g (x). Find a. h' (1), b. h' (3), and с. h' (4).

A: According to the given information,

Q: The function x2 f(x) = 1 - x is decreasing on (0, 1). Select one: O True O False

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Q: the function f(x) = k(x - s)(x - t)(x - u)^2 has: * O 3 zeros O 4 zeros O no turning points O 4…

A: Zeros of a function are those points where function has value zero. Hence f(x)=0 implies…

Q: Determine the critical numbers, if any, of the function f. f(x) = 3x* + 6x³ – 24x? – 72x + 22

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Q: 1. Find the value of a that makes the following function differen- tiable for all x-values. Jax, if…

A: gx=ax,if x<0x2-3x,if x≥0

Q: At what input value will the function f(x) = v-x- 2 + 2 begin to have real outputs? x = [?] %3D

A: Given that: f(x)=-x-2+2

Q: What is the length of the largest interval on which the function f(x) = is increasing? x² + 1 (a) 2…

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Q: Differentiate the following function. f(x) = - 4 e 3x *(-4 e 3x) = D dx

A: Differentiate the following function

Q: Find the largest interval on which the given function is increasing.

A: Consider the function fx=x-2+1 Since, fx=-x-2+1    when x<2x-2+1        when x>2=-x+3    when…

Q: Evaluate f(-2), f(-1), and f(3) for the piecewise defined function. Sx + 3 f(x) = {? if x -1 f(-2)…

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Q: Find the absolute max and min of the function f(x) = x^2 e^x on the interval [−3, 5].

A: Use graphical method to determine the absolute max and min for f(x). Plot the curve for f(x) in the…

Q: let f(X)=5x +(-3) find the largest & sothat [fx)-F(a]]<E when(x-a/<8

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Q: Find the values of x for which the function is continuous. -3x + 6 if x < 0 (x) = lx² + 6 if x 20 O…

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Q: .a Is the function a.EVEN b. ODD f(x) = |x|, π<x< T

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Q: Find the X-values of all points of inflection for the function f(x) = – x* + 6x³. O A. X = - 3 only…

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Q: 4. Find the functions f(x), g(x),h(x) that satisfy: f(g(h(x))) = 2.

A: A composite function is created when one function is substituted into another function .

Q: Find a and b so that the function 2x3 – 7x2 + 4, x -2 is both continuous and differentiable. a = b…

A: Function and its derivative mist be continuous so check the continuity at x= -2

Q: Find a value of the constant k, if possible, that will make the function continuous everywhere if…

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Q: 1.) Let f(x) = 7 + What is f(3 + h)?

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Q: Find a and b so that the function f(x) = S 4x – 7x² + 5, a -2 is both continuous and…

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Q: a) Consider the function f(x, y) = /In (4 – x² – y?). Find the domain and range of f(x, y).

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Q: A square root function is given below. h(x) = --3 - <-2 Which function opens in the same direction…

A: We know that, the graph of a function fx=hx+k will be k units horizontally right from the graph of…

Q: The range of the function f(x, y) = In(-x² -+1) is %3D 4 O [0; +*) O [0;1] O None of these

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Q: The table shows selected values of a continuous function, f (x), whose domain is 1 <xs 11. What is…

A: here given table  will draw a graph according to the given data  here f(x) = 50 is horizontal line…

Q: Find the linearization L(x) of the function at a. f(x) = –9x?, a = -9 L(x) =||

A: Given:- The function is, f(x)=-9x2 To find: - The linearization L(x) of the given function at a=-9

Q: The critical points of the function f(x) = 16x? 2x4 occur at O r = 0, x = ±2.67 O x = 0, x = ±1.00 O…

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Q: Find domain and range of the function f(x, y) = In[ e – x² – y°]

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Q: State the interval(s) over which the function is (a) increasing (b) decreasing (c) constant (d)…

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Q: Find the absolute maximum and minimum values of f in the given interval. f(x) = x* – 2x² + 1, (-2,…

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Q: 12. Find any relative extrema for each of the following functions. a) f(x) = x³ – 9x? b) g(x) =…

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Q: The critical points of the function f(æ) = 25a? –- 2a1 Occur at O * = 0, a = ±2.00 O * = 0, x =…

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Q: A function has f''(x) = 10 and has f'(4) = 0 and f(2) = 4. Find f(x).

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Q: 4 For what value(s) of x is the function f(x) 2x2- 6x | NOT continuous? A. x=0 andx= 3 B. x = 3 only…

A: We need to find points at which f(x)=42x2-6x is not continous.

Q: Find the minimum and maximum values of f(x) = Vx? on the interval -3, 5|.

A: We can find the minimum and maximum values of f(x) as below.

Q: 11.What value of x is the function f(x) = Vx2 - 3 continuous? Α. x =0 B. x = 1 C. x = -3 D. х 3D -2

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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.