Given the function f(x) = 5 + 2x², calculate the following. Make sure to fully simplify, expanding parentheses, combining like terms and dividing where possible. f(a) Preview f(a + h) = Preview f(a + h) – f(a) Preview

Q: Consider the function f(x) = = x² + 7x + 13 x + 4

A: given function f(x)=x2+7x+13x+4

Q: Consider the function f(x) = x* – 4x³ + 4x² + 4

A: Given the function  f(x) = x4-4x3+4x2+4 We have to find the optimal point(s) of this function.

Q: Find the simplified difference quotient for the given function    dx2 + kx + m

A:

Q: Differentiate the following function: f(x) = x² + 2x + 74 f'(x) =

A: Solve for the derivative

Q: Find the domain of the function f(x) = √(25 − x2).

A: The given function is fx=25-x2

Q: Find the following for the function f(x)=x² -6x² +11x-6

A:

Q: Evaluate the piecewise function at the given values of the independent variable. 5x +5 if x <0 f(x)…

A:

Q: Consider the function f(x) х — 2 х — 4*

A: The solution are next step

Q: mine the end behavior of the following function as x → –∞: 3x – 9 - r(x) = V49x2 – 8

A:

Q: Evaluate the function: Se +) dz 2x e5x 3

A: Let I=∫ e5xe2x7+3e3xdx

Q: Find F-7(x) for f(x)= 13 +14x

A:

Q: 3. Find and simplify the difference quotient for the function f(x) = v3x – 2

A:

Q: Consider the function below. f(x) = 8 + 2x² – xA

A:

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

A: Given function is:

Q: Differentiate the function. f(x) = x6174 + 2x50 – 13x* + 4x – x-6 + n²

A: Derivative of function

Q: Which is a reasonable domain for the function f(x) = 10x + 8?

A: We have to find the domain of function f(x) = 10x + 8

Q: Given the function f(x)=5x-x^2, express the value of f(x+h)-f(x) / h in simplest form

A:

Q: Find f^-1(x) for f(x)=13+14x

A: Explanation of the answer is as follows

Q: Define f (x) = 2x² + 3x – 4. Evaluate f(h – 5), simplifying as much as possible.

A: See the calculation below

Q: Consider the function below. x2 – 2x + 1 f(x) 2x – 8

A:

Q: find the value of the constant (a, b, or c) that makes the function continuous. (x2 - c 4x + 2c for…

A: For limits to be continuous left hand limit must be equal to right hand limit and equal to limit at…

Q: Differentiate the following function. - 8x f(x) = 4x e

A: Given: fx=4xe-8x for finding derivative of this we will use some formula of differentiation given…

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

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Q: Evaluate the function at the given value of the indépendant variable and simplify . g(x)=x^2-10x-3…

A:

Q: Find the domain of the function. f(x) = 10(x + 6)

A:

Q: Find f ′(x) for the function f (x) = 7x −8

A: Differentiation is the process of finding derivative or rate of change of a function. Suppose we…

Q: By use of the quotient rule, differentiate the function f(x) = ! 4-x? 1+x2

A: Given a function, we need to use quotient rule and solve.

Q: Find f'(x) for the function. f(x) = 8x3 - x + 1 f'(x) =

A: Given f(x) = 8x3-x+1 We know that d(xn)/dx = n•xn-1

Q: Find the length of the function f(x)=25-(1/2)x from x=3, and x=6 Length=

A: given f(x)=y=25-x2diffrentiatedydx=-12

Q: Given the function f(x) = –3x – 3, express the value of +n-12) in simplest -f(x) form.

A:

Q: Describe the long run behavior of f(x) - (x + 4)° (æ – 1) (æ + 3) As x → - 00, f(x) →

A: Limit problem....

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

A:

Q: Find f- (x) for f (x) = 5 + 8x.

A: Given, fx=5+8x

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: Evaluate the piecewise function at the given values of the independent variable. 2x +5 if x<0 f(x) =…

A:

Q: Find the function ƒ with the following properties. ƒ'(x) = 3x2 - 1; ƒ(0) = 10

A: Given, f'x=3x2-1f0=10

Q: Evaluate the function for the given values of x. -3x+6 for x<-1 x () ={+2 for -1sx<4 for x24

A: Given  g(x)=-3x+6x&lt;-1x2+2-1≤x&lt;45x≥4

Q: Determine where the given function is concave up and where it is concave down  F(x)=10x3-3x5

A:

Q: Describe the concavity for the function f(x) = x³ – 3x.

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Q: If f(x) = f'(x) = 4-3x7, find f'(x). Use exact values.

A:

Q: Consider the function f (x) = 3x – 6|.

A:

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: find the value of f(x) at x 10:

A: Given, x 9.3 9.6 10.2 10.4 10.8 f(x) 11.40 12.80 14.70 17.00 19.80 To find the value of f(x)…

Q: Consider the function below. x2 x² - 4 f(x)

A:

Q: Differentiate the following functions 4-3x Y3= 3x2 +1 by using quotient rule.

A: To differentiate the given function using quotient rule.

Q: Find the domain of the function: f(x) = 2(x + 5)

A: Given: fx=2x+5