(c) Determine the values of x for which the function f(x) = { 2x² – 4 x< 2 x+ 2 2

Q: Find the open intervals on which the function is increasing or decreasing            f(x) = x2 + 3x…

A: We find f'(x) using the power rule

Q: (2) For the f(x) = -x3 + 3x + 6 determine the coordinates of the turning point(s) and any point(s)…

A:

Q: The function f(x)=12-6x4 has an absolute maximum value of _____________ and this occurs at x equals…

A: Given, Function f(x)=12-6x4

Q: The horizontal asymptote of x + 5 f (x) = x2 is the line with equation O a y = 1 b y = 0 C X = 1 d.…

A: Given a function f(x)=x+5x2 To find the horizontal asymptote of f(x)

Q: Find the domain of the function.

A: Given: kx=x+3x-1 Domain of a function is the set of all values of x for which function is defined…

Q: Find the absolute maximum and minimum values of the function f(x) = r'-6r +3 on the interval [-1,…

A:

Q: 2 nd the domain of the function f(x) : (x² – x – 12)(x2 + 1)

A:

Q: The absolute Extrema of the function f(x) = /-x²+ 8x - 15 on its domain are

A: Given,f(x)=-x2+8x-15

Q: If f is a differentiable function and ƒ"(x)=x4+2x³− 15x², then f has an inflection point at

A:

Q: Find the local maximum and minimum points of f (x) = (3x - 1)3.

A:

Q: 3.) For the functions f (x) = v16 – x and g(x) = 2x – 8 find (x) and give its domain in interval -…

A: It is known that fgx=fxgx.

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: The degree of f(x) is v and the leading coefficient is There are| distinct real zeros and relative…

A:

Q: The fixed-points of f(x) = (x² + 2) are_ and

A:

Q: Given the function f(x) = x³ – 3x² + 3x – 10, determine the absolute maximum value of f on the…

A: We have to find absolute value

Q: 3.) Give the coordinates of any points of inflection. f(x) = x³ + x² – x +1

A:

Q: At what points of ℝ2 is a rational function of two variables continuous?

A: Given  The  ℝ2 is a rational function of two variables .

Q: 2. What is the degree of the function g(x)=-2x(2x-1)(x² + 1)²?

A: The given function is; g(x)=-2x(2x-1)(x2+1)2.

Q: Consider f (x) =x³ – 6x²+9x +3 defined on the closed interval .At which value of x does the absolute…

A:

Q: The function f(x) = 12 – 6x* has an absolute maximum value of 0 and this occurs at æ equals

A:

Q: 2. Determine the maximum and minimum value of the function f(x) = 2x' +3x² –12x + 2 over the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: For what value of x does the function g(x) = (x² – 4)² attain the absolute maximum?

A:

Q: 20.) Find function the Ceroes algebraically. of the f(x) = x² - 6x +8 4x X = ?

A:

Q: Find the inflection point of the curve f(x)=2x³ – 30x² – 12x+5. O 60 None O -2 O 5

A:

Q: 3. For the function f (x) = 4x2 – 25, a) find f(-1) - %3D %3D b) find all x when f (x) = 0

A:

Q: The fixed-points of f(x) = (x² + 2); are and

A:

Q: The extremum of f(x) = -5x2+4x+17 is a minimum.

A:

Q: The fixed-points of f(x) = (x² + 2) are and

A: Solution :  The fixed point of the function f(x) is  f(x) = x  Since, given function is  f(x) = 1/3…

Q: Find the set of values of k for which the curve y = (k+ 1)x² – 3x+ (k + 1) lies below the x-axis.

A: We will solve the following

Q: Consider f(x) =x³- 6x² + 9x + 3 defined on the closed interval 13 At which value of x does the…

A:

Q: For the function f(x) = x³ - 48x, its local maximum is which occurs at ( its local minimum is which…

A:

Q: The interval in which the given function is decreasing is at y = x3 – x2 – 5x – 4

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A:

Q: FOR WHAT VALUE OF X does the function g(x) = (x2-4)2 attain the absolute maximum?   X=-1 X=0…

A: We have to find for what value x the function g(x) will obtain a maximum value

Q: Use the Intermediate Value Theorem to show 11. f(x)=2x' +3x-1 has a zero between a = 0 and b = 1.

A:

Q: Find the local extremum  f(x)=x^4-8x^2+12

A:

Q: find c such that f(x)=-0.2x2-3x+c has a maximum value of -224. what is the value of c

A:

Q: Draw the graph of f ( x ) =3 x2+5 x−4 for a. From the graph, identify the values of x when f (x)=0.…

A: Follow the steps below to plot the graph of y=f(x) . Take arbitrary integers for the values of x…

Q: For what value of x does the function g(x) = (x2 - 4)² attain the absolute maximum in the interval…

A: we have to find absolute maximum

Q: Find the values of x for which the function is discontinuous and identify the type of discontinuity…

A: Given:- f(x) = (3x+2)/(x2 -8x+15)  To find:- Value of x where function discontinuous and type of…

Q: 1. Discuss the concavity and find the extreme values and inflection points of the following…

A:

Q: 4 If f'(x) = x³ x'-2x +x+2, then f has inflection points at 3. n X=0 X= -0.5 X-1 x-0.6 X-2

A: Point of inflection  Those points where cancavity changes called inflection points

Q: Find the absolute extrema of the function g(x) = -10x/x^2+9 on the interval (-5,2)

A:

Q: Suppose f(x) has a zero at an x-value of 3. What would a zero of g(x) be if g(x) = -2f(3x + 1)? %3D

A: Given that f(x) has a zero at x = 3, it means f(3) = 0To find the zero of g(x), where g(x) = -2f(3x…

Q: The absolute Extrema of the function f(r) = -V-x² + 8x- 15 on its domain are .2

A:

Q: Find the local extrema of the functionf(x)=x2+x−2x−2.

A:

Q: The fixed-points of f(x) = (x² + 2) a and

A:

Q: Find the global extrema of the function f(x)=3x4−6x2+2 on the interval [−2,2]

A: Global extrema of a function exists at critical points or at the end points of the interval.…

Q: 3 The graph of f(x) = 2x° + 15x² – 84x + 24 has two horizontal tangents. One occurs at a negative…

A: