1. Determine algebraically whether the function is even, odd or neither: g(x) = %3D x2 +3

Q: 2. Identify the function tables as linear or exponential. 13 4 a. exponential 1. 1000 100 10 1 b.…

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Q: Express the given function h(x) = l3x - 4l as a composition of two functions f and g so that h(x) =…

A: Given :h(x) = 3x -4To express h(x) as a composition of two function f and g so that  h(x) = (f∘g)(x)…

Q: The domain of the constant function g (x) = k is ________, and its range is _______ .

A:

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

A: Given : h(x) = -12x - 3 - 2   To find the function.

Q: Consider the function h(x), for which h(2) = -5 and h' (2) = –1. h(x) Find f' (2) for the function…

A: Given function:                                   f(x)=h(x)x   Let's take the derivative of the…

Q: 1. Consider the function f(x) = -x² + 6x and the point P(2,8) on the graph of f.

A: Given data: The expression for the given function is f(x)= -x2+6x. The given point is A(2,8). (a)…

Q: 2 47) Use the graph of f(x) shown to the right to solve: a) f(x)-0 b) f(x)<0 y-f(x)

A: a) Consider the given function to be y = f(x). Solve the equation f(x) = 0 using the given graph as…

Q: (;) 9 and () ). For the functions f (x) = 4x4 – 19x³ – 10x2 + 35x – 50 and g(x) = x – 5, find E) (x)…

A: Consider the provided functions, fx=4x4-19x3-10x2+35x-50    and    gx=x-5 Find the value of fgx…

Q: Determine h(x - 1) for the following function. - 3x h(x) = x2 - 2x-3 %3D

A: Given function is

Q: Find the domain and range of the function h(x) = 2/(x + 1)

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Q: 1 g(x) = /3 — х

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Q: Given y = 4 for all real values of x, Can y be regarded as a function of x ? Give reasons.

A: Given y = 4 for all real values of x To determine whether y can be regarded as a function of x or…

Q: Given the function f()- ge -bx, which of the following is true so the function is decreasing at any…

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Q: Express h(x) as a composition of two functions: h(x) = 3√(x2 + 1)

A:

Q: /Discuss the behavior of the following function as x 0: o,

A: Here, the given function is: f(x)=0,x≥0sin1x,x&gt;0

Q: Determine analytically if the following functions are even, odd or neither. f(x) = x 2 − x – 6…

A: topic - functions

Q: Find the domain and sketch the graph of the function.

A:

Q: differentiate the following function: g(x)=-8x^(8)+10x^(5)+6 g'(x)=?

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Q: 12. Is the function f(x) even, odd, or neither? 2x + 1

A: Given function is: fx=x22x+1 We know that a function f(x) is said to be an even function of x if…

Q: 21. Suppose f(x) = A and g(x) = v2*. Find the x-value for which the two functions are equal.

A:

Q: Consider the following function. 3x f(x) = 14 csc *), (0, 27) Find f'(x). f'(x) = Find f"(x). f"(x)…

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Q: Express h(x) as a composition of two functions:    h(x) = ∛( x2 + 1).

A: Given: h(x)=x2+13 To find: The composition of two function. That is h(x)=f(x)∘g(x)

Q: 5. Consider the function (x2 + y²)e-¯-. Provide the number of maxima of f(x, y). In case there is no…

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Q: 1. Is the function f(x)= x³ + x−1 even, odd, or neither?

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Q: What is the value "L", if exists, when a variable "x" in f(x) approaches a certain number "d" in the…

A: Given: A function fx is given. To Find: What is the value "L", if exists, when a variable "x" in…

Q: f (x) = x³ - 3x²?+ 3x – 2 оn (— ох, о)

A:

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&lt;2x-2+1        when x&gt;2=-x+3    when…

Q: 3. Find the domain of the following functions: 2x+1 (a) f(x) = (b) g(x) = (c) h(x) = V4 -x+ Vx2 – 1…

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Q: #2. Determine the equation for piecewise function f(x) given its graph below. -9-8-7-6-5-4-3 f(x) 5…

A: Given data:-

Q: The function h(x) ==x-1 represents the composite h(x) = f(g(x)). If f(x) = 2x – 1, what is g(x)?

A: Please refer the attached image for complete solution. Given : hx=43x-1, hx=fgxfx=2x-1To calculate :…

Q: - Find the zero and its order for the function f(2)=1-Ti+Z+e.

A: Note: If W is the Lambert function then Wxex=x

Q: . If x is large, which function grows faster, f1x2  2xorg1x2  x2?

A: To determine for the large values of x, which of the functions f(x)=2x and  g(x)=x2 grows faster.

Q: 1. Determine if the function is even or odd g(x) = x³ +x, f(t) = 1 + cost

A: Given function are gx=x3+x and ft=1+cost. To determine whether function is even or odd. Solution: A…

Q: 21. Suppose f(x) = G and g(x) = v2**. Find the x-value for which the two functions are equal.

A:

Q: Sketch the graphs of the following functions. 1 (i). f(x) = x 3 (ii) f(x) = x + x? (iii) f(x) x? - 1…

A: We have drawn graph of each functions by hand .

Q: Find all values of x such that f (x) &gt; 0 and all x such that f (x) &lt; 0, and sketch the graph…

A: f(x)=x4-4x2=x2x2-4f(x)&gt;0⇔x2x2-4&gt;0⇔x2&gt;0 and x2-4&gt;0 or  x2&lt;0 and x2-4&lt;0⇔x∈ℝ \ 0 and…

Q: Consider the function h(x), for which h(4)=−7  and  h′(4)=3 Find f′(4) for the function f(x)=…

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Q: Express the given function h(x) = (3x - 1)4 as a composition of two functions f and g so that h(x) =…

A: Given function,  h(x) = (3x - 1)4 To express the function h(x) as a composition of two functions f…

Q: Test whether the following functions are increasing, decreasing or stationary at x =5. 1. f(x) = 6x°…

A: To solve the given function problem.

Q: f(c) {}} [=+3 = < (3x + 1

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Q: Given the function f(x)=ax =axın( x+b), which of the following is true so the function is decreasing…

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Q: Consider the following function.   g(x) = 2x2 + (32/x)+8   Find the x-value(s) of the relative…

A: We find the first and second derivative using power rule. Power rule: d/dx(x^n)=n*x^(n-1)

Q: Express the given function h(x) = 3√(x2 - 9) as a composition of two functions f and g so that h(x)…

A: Given function is  h(x)= x2-93.

Q: Find the domain of the given function.

A: The given function is defined when 0≤x≤1 and x≠0,x≠1.

Q: For a function g(x). g"(3) = -8 indicates that G(x) is at x=3 a) concave up

A: In this question, concept of derivative is used to derive conclusions. Derivative The derivative…

Q: a. The value of x that makes the function discontinuous. 3x f(x)= 3x-81 O 4 O -4

A: A function f(x) in an interval (a,b) is discontinuous if it is undefined at x=c where a&lt;c&lt;b.…

Q: 4. Sketch the graph of the function. a. f(x)=-(x-1)²+2(x-1)+6 x+1 ifxe(-0,1] if xe (1,3) if x e[3,5]…

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Q: - The parent function f(x)= Vx is translated 8 units left, reflected across the x-axis, and…

A: ANSWER : g(x) = -3√(x+8)   EXPLANATION :

Q: For a function g(x), g"(3)=-8 indicates that g(x) is at x=3. concave up decreasing increasing…

A: Please see the explanation below