For the following functions find f(-2), f(-1), f(0), and f(1) f(x)=x3

Q: For the following exercises, find f′(x) for each function. 339.  f(x) = x^π ⋅ π^x

A: Explanation of question is given in the picture

Q: For the function f(x) = !!x2 + 3 find f -1(x)

A: the given function isf(x)=x2+3to find f-1(x)

Q: For the following functions, find (f-g)(7) (Enter an exact number.) f(x)=2x+7 g(x)=x-6

A: For the following functions, find (f-g) (7) (Enter an exact number.)

Q: Find f(x+h)-f(x)/h for the given function . f(x)=x2+8x

A:

Q: for the following function f(x)=x^2 + 4, find the difference quotient

A: To find f(x+h) we plug x+h in place of x and simplify.

Q: For the following functions y = f (x), find f ′ (a). f (x) = 3x2 − x + 2,      a = 2

A: Given:        f(x) = 3x2-x+2    Differentiating with respect to x, we get       f'(x) = ddx3x2-x+2…

Q: For the function f(x) = 2e", calculate the following function values: f(- 3) = f(- 1) = f(0) =

A:

Q: Find f'(x) for the function. 2 f(x) = x + /x

A: Given fx=x2+x. We need to find f''(x).

Q: For the function f(x) = 3* find *+1) f(x-2)

A:

Q: For the function f(x)=x to the power of 2+1 when x=2 the f(×)

A: Given,             For the function fx=x to the power of 2+1.To find : The value of fx when x=2.

Q: For the function f(x) = 5 · 9", calculate the following function values: f( – 2) ()- 1 f 2 f(0)

A:

Q: For the two functions g ( x ) = f ( 3 x ) describe the relationship between g ′ and f ′.

A: Our objective is to describe the relationship between g ' and f ' .

Q: For f(x) = -8 + x2 find the following. (f(x+h) - f(x))/ h =

A:

Q: For the function f(x) = 5eª, calculate the following function values: f( – 3) = f( – 1) = f(0) =…

A:

Q: For the functions f(x)=3x−4 and g(x)=6x^2+5, find (g∘f)(x).

A: Composite of two functions f(x) and g(x) is defined as:  (gof)(x) = g(f(x))

Q: Given the following function, find  f(3).   f(x) = x-3/2x-1 f(3) =

A:

Q: f(x)= x^2 e^x

A:

Q: For the functions f(x)=x+2,  g(x)=2x2-3x-2, find (g o f)(x)

A: Consider the given functions.

Q: For the function f(x) = 5ª calculate the following function values: f(4) = f(5) =

A: Simply substitute the value in the given function and simplify.

Q: For the following​ function, make a rough sketch of the graph that shows the behavior at the​…

A: Given fx=-34x-12x+13

Q: For the following exercise, findf (x) for the function. 29. f(x) 2x – 13

A: Solved below

Q: For the function f(x) = vx – 2, find f'(x).

A: Given,           The function is fx=x-2 .

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

A: f(x) = x2 + 3

Q: e g(

A: Given: gx=x2+1 , x<c2cx     ,x>0  the given function is constant so that at x=c it gives the…

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) = 3" find *+1) f(x-2)

A:

Q: for the function f(x)=3e^x calculate the following function values. f(-3)= f(-1)= f(0)= f(1)=…

A: we have to find the following

Q: For the following exercises, find f' (x) for each function.

A:

Q: For the function f(x)=x+1/x^2+3 find  (c) f(x2+3)

A:

Q: For the functions f(x)=−7x+3 and g(x)=3x2−4x−1, find (f⋅g)(x) and (f⋅g)(1).

A:

Q: For the functions f(x)=−x2+2x−1 and g(x)=x−1, find (f/g)(x) and (f/g)(0).

A: Consider the following functions: fx=-x2+2x-1gx=x-1 Substitute x=x-1 in fx:…

Q: For the function f(x)=(x+3)/(x−4), find (f(x+h)−f(x))/h

A: Given function,f(x) = x+3x-4, we have to findf(x+h)-f(x)h

Q: 5) For functions f (x) = x² – 15x + 45 and g(x) = x - 9, find |(x)

A: f(x)=x2-15x+45, g(x)=x-9, (fg)(x)=?f(x)=x2-15x+45  g(x)=x-9  Now fgx=f(x)g(x)             [Quotient]

Q: For the following functions y = f (x), find f ′ (a). f (x) = x2 + 9x,            a = 2

A:

Q: For the piecewise function, find the specified function value. forx s-1, 3x, f(x) = { %3D x- 6,…

A:

Q: For the function f(x) = 32-1 calculate the following function values: f(3) = f(4) =

A:

Q: For the function f(x)=|4-3x| find x values so that f(x) =12

A: Explanation of the solution is given below...

Q: For the function f(x) f(x + h) – f(x) find * - 3 h

A:

Q: For the following functions, find(f * g)(2) . (Enter an exact number.) f(x)=x^2-3 g(x)=4x-5

A: Givenf(x) = x2-3 , g(x) = 4x-5

Q: For the function f(x) = 1 – 1/ (x + 2)2, find the following: f(-x)

A: topic- functions

Q: For the function F (x) = 1 -   1                 (x+2)2 Find: F(-x) F (x+K)

A: For F(-x)  replace x by -x. And for F(k+x) put x=x+k and solve it.

Q: For the functions f(x)=4x−3 and g(x)=3x2+4x, find (f∘g)(x) and (g∘f)(x)

A: Given that, f(x) = 4x - 3 g(x) = 3x2 + 4x we have to find fog(x) and gof(x).

Q: For the function , f(x) = 1 -  1 / (x + 2)² , find the following:     i) f(-x) ii) f(x + k)

A:

Q: For the function. f''(5) f(x)= x-1/x

A: f''(5)=-2/125 Explanation is given below

Q: Given the function f(x)=x−−√3, find f′′(x).

A: Given, f(x)=x-3

Q: For the following equation, evaluate f'(-1), f(x) = 5x^2 + 3x

A:

Q: For the function, find the following. f(x) = x4 − 7x3 − 3x2 + 9x − 4   (a)    f '(x)   (b)    f…

A: Given function

Q: For the function f (x) = (x–7)7 find f(x). 2

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: