– 4 < x < 1 1 < x < 4 -2x + 1 for f(x) = 6 for

Q: Find the domain of f(x) = 1/x and discuss the behavior of f near any excluded x-values.

A:

Q: 11. Find the absolute extremum of f (x) = 4- x3, where -2 < x< 1

A: Given: The function is  f(x)=4-x3,  -2≤x≤1   To determine: The absolute extremum of the function…

Q: Find the intervals on which f(x) = x4 is increasing  and the intervals on which it is decreasing.

A: Given function:

Q: Find the intervals where f(x) = x2e−x is increasing and where it is decreasing.

A:

Q: Find a formula for f-'(x) and (f -1)'(x) if f(x) = V х-2

A:

Q: Find a formula for f®(x) if f(x) =In(x – 1).

A: Given that,

Q: Find the absolute extrema of f(x) = x3 +5x2-8x+2 on the interval [−1, 2].

A: Given function is fx=x3+5x2-8x+2 ; x∈-1, 2

Q: Find the absolute extreme of f(x)=x^3-12x on the closed interval [0,4]

A: for finding critical points take f'(x) = 0 then find the function value at the critical points and…

Q: Determine the absolute extreme values of f(x) = 5x – 10~/x on the interval [0, 16].

A:

Q: Find the absolute extrema of f(x) = x³ - 6x - 1 on the interval [-2,3].

A:

Q: If for a real continuous f(x), f(a) f(b) < 0, then in the range of [a,b] for f(x) = 0, there is…

A: It is given that f(x) is a continuous function and f(a)f(b)&lt;0. Then f(a) , f(b) have opposite…

Q: Suppose f(x) is a twice-differentiable function which is positive and decreasing for all real…

A: Consider the given conditions for f(x) and assume the graph for function f(x) for the given…

Q: Find and classify the extreme values of f(x)=6x^4 - 4x^6 over the interval [-2,2]

A:

Q: all values of k that would make the function f (x) continuous at x = 3. I values of k exist, submit…

A:

Q: Let f(x) = x5 + x3 + 2x² – 1 € Z3lx]. Then x = 1 is a root for f(x) of multiplicity: 4 None

A:

Q: (c) Show that f(x)>0 for all values of x, x # -2.

A:

Q: find a general formula for f (n)(x). f (x) = x2e x

A: The first derivative of a function when equated to 0 gives us the critical points of the function…

Q: If f'(x) > 3 for all x and f(2) = 5, what can you conclude about f(4)? %3D

A:

Q: Let f) = x* +x + 2x² -1€ Z,lx). Then x =1 is a root for f(x) of multiplicity: 2 4 None

A: Given that fx=x5+x3+2x2−1∈Z3x. We have to find the roots of multiplicity of fx at x=1. At x=1…

Q: 1. Find the absolute extrema of f (x) = x* - 8x² + 3 on the interval [-1,3].

A: Absolute extrema on a closed interval lies on end points or at f'(x) = 0 So first we have to…

Q: If f is differentiable and ƒ'(x)=x³− 2x² − x+2, then f is increasing on Selected Answers: [None…

A: In this question we have to find interval in which function is increasing.

Q: Let f(x)=-4cosx and g(x)=2cosx+3 for 0&lt;x&lt;2pi solve for f(x)&gt;(g(x) on [0,2pi]. Write the…

A: Sketch the graph of -4cosx&gt;2cosx+3 .

Q: Find f'(x). 6 f(x) = In x +4 In x f'(x) =

A:

Q: Suppose f(x) = v9 +x - Vx – 6. Find all x-values satisfying the equation f(x) = 3. %3D

A: Given Data: Function: fx=9+x-x-6 Condtion: fx=3 Use substitution method to find the values of x for…

Q: 2) State the intervals of concavity in the function f (x) = x3 + 2x2 – 4x + 5.

A: We have to determine the intervals for concavity of the function: fx=x3+2x2-4x+5 To check the…

Q: If f(x)=3*-9 and g(x)= tanx, then what is the domain of (g+f)(x) on the interval [0,2m]?

A:

Q: 4 If f(x) = x 2 - function for all real values of x, then f(8) is equal to

A:

Q: find the intervals on which f(x) is decreasing f(x) = 2x³ – 3x² – 36x

A:

Q: for f(x)=quare root x-2 and g(x)= x quare  find f of g(x), g of f(3) domain of f of g(x)

A: Given f(x) = √(x-2) and g(x) = x2f of g(x) is a fucnction we get by replacing x in f(x) by g(x) as…

Q: Find f'(a) for x2 f(x) = x + 6 at a = 3.

A: Given function :

Q: Find the value for k so that the function will be continuous at x = 1. - 5x2 - 30x + 35 - 10 if x <…

A:

Q: If f(x) =x²-x over x-1 and g(x) =x is it true that f=g?

A:

Q: For f(x)=(x^2+x−2)/(x+2) does the Mean Value Theorem apply on the interval [0, 2] and why?

A:

Q: Show whether f(x) is continuous (3х-2 f(x)={ x-2 x² -4 for x=- for x+ -

A: Given that, f(x) = 3x - 2; for x = - 2 f(x) = (x + 2)/(x^2 - 4); for x not equal to - 2 So when x is…

Q: How do I solve this

A: We have to find

Q: Find x for which f(x) is not continuous: 3 x-1 f(x) =-+ x'x2 -1

A:

Q: For all x in the domain of the function –* , x+1 this func- tion is equivalent to:

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: Find the absolute extrema of f(x)=x^3-6x^2+5 on the interval [-3,5]

A:

Q: If f(x) = x² find a ō such that 0 < lx - 21 < & implies 1x² - 41 < F when = 1.

A:

Q: (b) Suppose that f(x) = ൜βx2 − 3    if x ≤ 2βx + 2      if x &gt; 2 Find the value of β so that f(x)…

A: For continuity, left hand limit=right hand limit=f(x)

Q: 3. For f(x) = x' + 14, find all x such that f(x) = -13.

A:

Q: (1) Find and classify the extreme values of f(x) =6x* -4x over the interval [-2,2].

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Find the absolute extreme values of f(x) = 2x3 - 6x +3 on the interval [0, 3]. |

A:

Q: Find the open intervals on which the function is increasing y = x/100 – x²

A: A function is said to be increasing in an interval its derivative is positive in that interval.

Q: Let f(x) = x³ + x² + 4x – 1 € Zs(x]. Then x = -1 is a root for f(x) of multiplicity: 4 None 3 2

A:

Q: (b) Suppose that f(x) =  βx2 − 3            if x ≤ 2 βx + 2             if x > 2 Find the value of β…

A:

Q: Find f(0) iff (x) et?

A:

Q: Let f(x) = x5 + x3 + 2x2 – 1 € Z3[x]. Then x = 1 is a root for f(x) of multiplicity: 4 O None 3. 2.

A:

Q: There is an infinite discontinuity at x = 0 and f(0)=-2

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.