6. Use algebra to determine whether the following function is even, odd or neither. [A6] a) f(x)=55x4-x²– 78 b) fx=37x²+93x

Q: What is the value of h(n) when n = 1 in the piecewise function, h(n) = 2n + 1 if n > 0 and h(n) =…

A: A piecewise function f(x) has a different relation between x and y in different domains of x as per…

Q: 5. What is the domain of the function h(x)= 11 X x 2 1 ?

A:

Q: What is the domain of the function f(x) = Vx- 3? %3D А. (3, о) В. (-о, 3] С. [3, о0) D. (-00, 3)

A: To find the domain of the given function.  f(x) = √(x-3)

Q: What is a reasonable domain for the function f(x) = 14x + 12?

A: A reasonable domain for the function f(x)=14x+12 is 0<x<8

Q: ): Apply Rolle's theorem for the function f(x) = 9x² – 36x + 27 over the interval [1, 3]. Justify…

A: Given :- Apply Rolle's Theorem for the function fx = 9x2 -36x + 27 over the integral 1,3.

Q: 1 f(x) = +3 -x+2

A: Topic = Functions

Q: What is the vertex of the function f(x) = 19(x+6)2 %3D O (19, 6) O (6, 19) O (6, 0) O (6, 0)

A:

Q: 70. What is the domain of the function f(x) = Vx - 3x?

A: Consider the function, f(x)=x3-3x2 Domain of a function y=f(x) is the set of all x-values for which…

Q: The values to exclude from the domain of f(x) are 3 and 7. X - 3 x - 7

A: f(x)=x-3x-7

Q: 4х+7 (ii) If f(x)={ 1<x<2 determine whether the function f(x) is continuous 14x² -1 2<x<4 throughout…

A: Continuity of the function

Q: 8. Explain why the power rule cannot be used to differenti- ate the function (2 – x) 1/3.

A: To explain: The reason that the power rule cannot used to differentiate the function 2-x13. Concept…

Q: What type of discontinuity is in the function f(x) = x-4/(x)^1/2 -(2)? Where is this discontinuty…

A:

Q: Compute the difference quotient  f(x+h)-f(x) / h  for f(x)= 4x2-9x

A:

Q: Which one of these statements in relation to the function f(x)= x+3/x is false?

A: Explanation of the answer is as follows

Q: How do you solve question 4?

A: We are given the function, f(x) = x4 – 2x2 + 3x. Here, we need to show that the function f(x) has a…

Q: For what value of x is the function f(x) = 4/2x2-6x not continuous?

A:

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: +x²) ial f(x) -3 -5 -2 -24 -1 -7 10 15 20 2 of the function repre 12

A: Given query is to find the degree of polynomial from the table.

Q: Which statements about the function f(x)=2x^2+22x+56 are true,

A:

Q: 4 is 14. True or False The domain of the function f(x) {x|x + ±2}.

A: We have the given function as fx=x2-4x As we know that, the domain of a function is the input…

Q: 2. Determine the function f (x) for which f'(x) ==++ 3 1 + 8x3 x-2 x2 and f(1) = 7.

A: =&gt; f(x)= ∫ f'(x)dx

Q: Describe the long run behavior of f(x) = 25 x + + 88x4 As x → 0, f(x) → ? - As x → 0, f(x) → ?

A: By using limit property, we find the behaviour of the given curve.

Q: 72. What is the domain of the function f(x) Vx + 4

A: f(x)=x-1x+4

Q: Explain why the function has a zero in the given interval.

A:

Q: (b) If f(x) = anx", specify the domain of f. %3D n=1

A:

Q: what is the end behaviour of function f(x)= 2x^2 -3x^5 -8

A: The following table gives the end behavior of any function by knowing its degree and Leading…

Q: Explain why the function has at least one zero in the given interval.

A: The given function is f(x)=x3+5x-3 ,  0,1

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: WHAT IS THE PORNT OF F(x) = (2+1) 5-52-2

A: answer is in next step.

Q: 4. Given that f'(x) = −6x² + x + 12 and f(1) = 7, find f(x).

A: Given : f'(x)=-6x2+x+12f(1)=7   To Find : f(x)

Q: Consider the function f defined by f(x) = (3 – x)(4 + 3x). What is f(-3)?

A: Given  f(x)=(3-x)(4+3x)

Q: Find the deriyative of the function by definition. 1-(x) = 2- f(x) =V V2x +3

A: using definition of derivative

Q: For what value of x is the function f(x)= 4/2x2 - 6x not continuous?

A:

Q: Explain, using the theorems, why the function is continuous at every number in its domain. 2x² - x –…

A:

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

A: Consider the given equation is, f(x)=ln(3-x2) Then differentiate the above function with respect to…

Q: Let f(æ) be the function 10x2 – 6x + 3. Then the quotient f(2+h)-f(2) h can be simplified to ah + b…

A:

Q: 3. Given that f(x) = -x³ + 4x- – . Evaluate the value of f"(-)

A:

Q: What is the upper and lower limit for the function : f(x) = −12x2 − 37x − 21

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Determine the points of inflection if they exist f (x) = x³ – 3x² + 2x + 5 1 {-3, 4.8} does not…

A: We need to determine the points of inflection of the given function.

Q: Determine whether the function f is one-to-one.

A: A function is one-one if for every x there is only one y that exists in the range of the function.…

Q: - Consider the function f(x) = x* – 182 + 8, - 2 <7.

A: In this question we find the absolute maximum and minimum for the given value of function.

Q: 7. Find and simplify the difference quotient f(x+h)-f(x) for the function f(x) = x² -

A: I am answering first question

Q: Differentiate the followin f(x) = (2x2 - 3x)* 4

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: How would I slove this:   For the functions  f(x) = 2x + 3, g(x) = 3x2,  find  (f ∘ g ∘ g)(x)

A:

Q: To conclude, state the result when the function f(x) = x³(x + 5) is differentiated. = (x),J

A: Given Function f(x)=x3(x+5) Formula ddx(u.v)=u.v'+v.u'ddxxn=n.xn-1

Q: Use the Intermediate Value Theorem to show that f(x) = 2x3 − 3 has a zero in the interval [1, 2]

A:

Q: What is the truncation error in calculating f'(3) for f(x) = x2 by f'(x)- (f(x+h) - f(x))/h with h =…

A:

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.