Evaluate the function at the given values of the independent variable and simplify : h(x) = x4 - x2 + 1, a. h(2)   b. h(-1),  c. h(-x)    d. h(3a)

Q: How do the functions el0x ande -10x behave as x o and as x S - 0?

A:

Q: Evaluate the function f(x) = (4x2 - 1 )/x2 at the given values of the independent variable a. f(2)…

A: f(x) = (4x2 - 1 )/x2   ............................(1) a)  f(2) = ?       put x=2 in equation (1);…

Q: Evaluate the function at the given values of the independent variable and simplify : h(x) = x4 - x2…

A: a). Put x = 2 in h(x), we get b). Put x = -1 in h(x), we get

Q: For the function f(x) = „"9, find x-9 f (x).

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Q: Differentiate the function with respect to the independent variable. f(x) = In (3 -x²) f'x) = D

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Q: Evaluate the function h(x) = x3 - x + 1 at the given values of the independent variable a. h(3) b.…

A: a). Put x = 3 in h(x), we get b). put x = -2 in h(x), we get

Q: Find and simplify the difference quotient, f(x+h)-f(x) h +0 for the function f(x) = 2x2 – 4x + 3|…

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Q: For the function, find the domain. f(x, y) = 7/x-y

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Q: Use the functions f(x) = x + 4 and g(x) = 2x − 5 to find the given function.

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Q: Compute the difference quotient, f(x+h)-f(x) for the function f(x) =x", and simplify.

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Q: For the function f(x)=5x^2, evaluate f(x+h)

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Q: -4x For the function f(x) = e¯X+4e*, then f(x) = %3D

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Q: For the function f(x) = 29, find ƒ ¯'(x). 2x-9 f(2) = Answer: %3D Subu

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Q: Find for Domain and Range of the function f (x,y) = /49 – x2 – y²

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Q: Given the function f(x)=0.2(x−2)(x+1)(x−5), determine the end behavior of the function

A: Given the function,

Q: Evaluate the function at the given value of the independent variable and simplify. x2 + 6 . 3) f(x)…

A: To evaluate the function at the given value of the independent variable, f(x)=x2+6x3-5x,f(-4)

Q: Given the function f(x) = x³3 – x, determine (f of) (x). %3D -

A: We are given a function: f(x) = x3 - x We need to find out (f∘f)(x)  that is composition of…

Q: Differentiate the function with respect to the independent variable. f(x) = (6 - 5x²) ³ f'(x) =O

A: Given, fx=46-5x23

Q: 17. Find the difference quotient for the function f(x)%=(x²+1) °, then simplify.

A: Given function is:

Q: of the function f(x) = 3x from x, =0 to x, =7. (Simplify your answer.)

A: We have to find

Q: Evaluate the function at the given values of the independent variable and simplify : f(x) = (4x2 -…

A: Given: fx=4x2-1x2 for finding given values we put x=2,-2,-x respectively in place of x in given…

Q: Sarai was given the function, f(x)=x² - 2x +8. For what x value(s) would f(x)= 20?

A:

Q: sketch the domain of the function f (x, y) = 81 − x2

A: Given;                                  fx,y=81-x2 The value inside the root must be 0 or greater.…

Q: Evaluate the difference quotient f(x+h)– f(x) 3 for the function f(x)=- and simplify. х

A:

Q: For the function f(x) = x2 + 3? and ℎ ≠ 0, evaluate (f(a + ℎ) − f(a))/h

A: f(x) = x2 + 3

Q: Where is the function y=√x−5 increasing

A: Given:  y=x-5

Q: For the function f(x) = x-3 / 4- 2 x.2 , evaluate and simplify the following: (i)  f(-1),

A: Given f(x) = x-34-2x2 Substitute -1 for x in the given function to obtain f(-1)

Q: For the function f(x) = , find f-'(x). 9

A: Given,          The function is fx=x79.

Q: Find the value f(3) for the function f(x)=9

A:

Q: Differentiate the function with respect to the independent variable. f(x) = 4+ 3x? f'(x) =

A: Answer is given in the picture

Q: Evaluate the piecewise function at the given value of the independent variable. -3x - 1 if x <0 ;…

A: Topic: Functions

Q: For the function f(x,y) = 5x - 6y - 6, find - of and

A:

Q: For the function f (x)=3x+2, find x such that f(x) =14.

A: Simply put given value of f(x) and solve for "x".

Q: The functionh is defined as follows. x²-4x-32 h (x) = 2-4 Find h (-3). Simplify your answer as much…

A: Answer is -2.2 Explanation is given below

Q: Differentiate the function with respect to the independent variable. f(x) = (x° - 7x) 5 f'(x) = D

A: Given:

Q: Determine whether or not the function is homogenous. x5 f(x,y) = 72=2y² If it is homogenous state…

A: Given that: f(x, y)=x5x2-2y2

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

A:

Q: Determine whether the function y = -3x2is increasing or decreasinga. For x &lt; 0. b. For x &gt; 0.

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

Q: For the function f(x) = 7x", find ƒ-'(x).

A: Given,         The function is fx=7x7 .

Q: Evaluate the function at the given values of the independent variable and simplify : f(x) = x lxl ,…

A: Given function is fx=xx. We know that x always gives positive value. a) To evaluate f6. Put x=6…

Q: Evaluate the function f(x) = (4x3 + 1)/ x3 at the given values of the independent variable a. f(2)…

A:

Q: For the function: f(x) 5x 2, find - f(r) - f(a) а. f(x + h)- f(x) b. Submit

A: Just I have used the given function and easily find the required solution.Solutions are in the…

Q: For the function f(x) = 2x and simplify. 1, evaluate f(x + h) – f(x) II

A: The given function is

Q: Evaluate the function at the given values of the independent variable and simplify : f(x) = x/lxl ,…

A: Given that, f(x) = x/lxl Then we get, f(6) = 6/l6l f(6) = 6/6 f(6) = 1

Q: Evaluate the function f(x)=x+4 when x=3

A: To evaluate the function f(x)=x+4 when x=3

Q: Differentiate the function with respect to the independent variable. f(x) = 6 – 5x - 8x? f'(x) =O

A:

Q: What value should be assigned to a to make the function x<3 |(x) = {x²- 1, (x)%3D (2ax, x23…

A: Given:   Function equation is given

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.