13. Evaluate the function for the given values of x. -211-3 for x< -2 for 2

Q: 4) Find the value of the function f (x) given in the table below at the point x = 3 by Aitken…

A: to find the value of fx given in the table at the point x=3 by Aitken method  solution we will solve…

Q: (i) Discuss the continuity of the function f(x) = {x2 − 3x    if x &lt; 2              2x + 4     if…

A:

Q: (i) Discuss the continuity of the function f(x)= x^2-3x        if x&lt;2…

A:

Q: b) Suppose that f(x) = }Bx + 2 SBx² – 3 if x 2 Find the value of ß so that f(x) is continuous…

A: The given continuous function is,

Q: 1 If f(x) = and g(x) =-, 2x +1 1 find f (g(x)) and its domain. - 2

A: Composite function :  A composite function is created when one function is substituted into another…

Q: 1. Consider the function f(x) = -x² + 6x and the point P(2,8) on the graph of f.

A: Given data: The expression for the given function is f(x)= -x2+6x. The given point is A(2,8). (a)…

Q: 4. Consider the function 1/3 V3 + x f (x) X – 1 а. Find the domain of f.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 1. What are the x-intercepts for the function f(x) = x2 + 2x – 15? А. (0, -5), (0, 3) В. (0, 5), (0,…

A: Given, f(x) = x2 + 2x -15

Q: 1) Find all relative extrema in the function f (x) = x³ + 3x2 – 24x + 12. 2) Find all points of…

A:

Q: Find the value of k which makes F(x) =(x+k)/(4k-1) if x&lt;=0 and F(x)= x^2+2x+k if x&gt;0 if…

A:

Q: 4. State all the values of x in which f(x) is not differentiable. Justify your answer. b) f(x) = - 2…

A: Given: 4. State all values of x in which f(x) is not differentiable.(a) From the graph given above…

Q: 6. Determine all values of x at which the function is discontinuous. x2- 2x +5 f(x) = x2-4x 0, 4 O…

A:

Q: (i) Discuss the continuity of the function f(x) = {x2²− 3x        if x &lt; 2           2x + 4…

A: We are entitled to solve one question at a time, so I am providing solution for first question.…

Q: (i) Discuss the continuity of the function f(x) = {x2 − 3x if x &lt; 2 2x + 4 if x ≥ 2on the open…

A:

Q: 1. Solve the following problem. What value of k makes the function continuous at x = 3? x2 + 2x - 3…

A:

Q: 1. 2. Which statement about the function f(x): x-3 is What is the domain of the function x+2 f(x) =…

A:

Q: 3. Find the absolute extrema of the following function on the indicated interval. f(x) = x3 + 2x² –…

A:

Q: 1. Find the value of a that makes the following function differen- tiable for all x-values. Jax, if…

A: gx=ax,if x&lt;0x2-3x,if x≥0

Q: 10. What value of k makes the function {2x - (4(x + k) if x > 2 if x <2 f(x) continuous at x = 2? А.…

A:

Q: 5. Consider the function (x2 + y²)e-¯-. Provide the number of maxima of f(x, y). In case there is no…

A:

Q: 4x-1 if x<2 -3x +5 if x22 Given f(x)= determine the value(s) of x for which %3D f(x) is…

A: We have the given piecewise function as fx=4x-1if x&lt;2-3x+5if x≥2 From the given function,…

Q: For what value of the constant c is the .! function f continuous at x-3 |cx – 2 , if x 3 2 -1 -2 1

A: If function is continous then,limx→n+ fx =limx→n  fx = fnat point nso at given point x=3limx→3+ fx…

Q: (i) Discuss the continuity of the function f(x)={x2−3x if x&lt;22x+4 if x≥2 on the open interval…

A: Part (i):   In the region x &lt; 2 the function is defined as x2 – 3x. This polynomial is continuous…

Q: For the function S-a² + 2x if x -1' evaluate the left and right limits.as x -→ -1.

A: Given f(x)=-x2+2x         if x≤-1-x2+2x+2    if x&gt;-1

Q: #2. Determine the equation for piecewise function f(x) given its graph below. -9-8-7-6-5-4-3 f(x) 5…

A: Given data:-

Q: 10. Find function that satisfies the given conditions: f"(x)=6x³-3x+4, f'(1)=-3, f(1) = -6

A: The function satisfies the condition f''x=6x3-3x+4, f'(1)=-3, f(1)=-6 use the integration formulas,…

Q: (i) Discuss the continuity of the function f(x) = {x2 − 3x if x &lt; 22x + 4 if x ≥ 2on the open…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: 3. For the function f(x) = (x – 3)(x + 2) find the interval(s) on which it is positive and intervals…

A:

Q: 5. Find the x-coordinates for all points of discontinuity for f(x)- 「X316, xśl x〉 1 2 c. 1, 32d.…

A: First we check the limits as x approaches to 1 from left side and right side .

Q: 4) Find the value of the function f (x) given in the table below at the point x = 3 by Aitken…

A: Aitken method is used to find out the interpolation value of the function f(x) at a particular x…

Q: 2. Suppose that f(x) is an unknown function, but we know that g(x) = (x² + 5)(f(x))². (a) Find…

A: Using product rule of derivatives.

Q: 2 The critical point for the function g(x)= X +4x is Select one: a. (4,-2) b. (-2,4) C. (2,4) d.…

A:

Q: (b) For what values of the constants c and d is the function continuous and differentiable for all…

A:

Q: 1 For what value of x does the function f(x) = =x³ – 4x attain the absolute maximum - in the…

A: here option (c) is true on doing differentiation we get the  f'(x)=3x^2/3-4 f'(x) =x^2-4 put f'(x)…

Q: Draw the graph of the function f (x) = ⌊2x⌋ from R to R.

A: We have to draw the graph of the function f (x) = ⌊2x⌋ from R to R.

Q: 1/ Find the domain of the following functions : 1 1) f(x, y) = x²+y²+z²+16 2) f(x,y) = In(9 - x² –…

A:

Q: 6 — 2х if x x2 – 16 For which x E R is f(x) continuous? You must give j your answer.

A:

Q: 10 Q4 For the functions f(x) = 7x + 4, h(x) =-3 and g(x) = 3x-2 (a) Evaluate (1) g(4) (ii) h{g(4)}…

A: It is given that fx=7x+4,  hx=10x-3,  and  gx=3x-2. (a) Evaluate: (i) Find the value of g4.…

Q: 3x - 2 if - 4sx1 find f(0) + g(T). A TT +1 B -1+ n? 2+ TI -3+ 1?

A: Given f(x)=x2+2x-1 if x&lt;25x-3 if x≥2g(x)=3x-2 if -4≤x&lt;-2x+3 if -2≤x≤1x2 if x&gt;1

Q: 2. State why the function f(z) = 2z²-3-ze²+e-² is entire.

A: Introduction: Every complex valued function corresponds to a power series. The convergence of power…

Q: Where is the function undefined and where is it equal to 0. f(x)=3e^2x-3

A: We can solve above question both through algebra and also through drawing it's graph. Both of them…

Q: 38. At what value of x should the function f(x) = In(x – 4) approach to so that f(x) will be as…

A:

Q: 18. if f(x) = 2x² + 3x² - 4x-5 X+1 Suggested Table X f(x) -1.1 -1.01 -1.00 find X-7-1 f(x) = ?…

A: The given function,  fx=2x3+3x2-4x-5x+1

Q: 8. The y-intercept is -4. The function has no x--00, f(x) → -0∞, x-intercepts. As x→ 0, f(x) → -∞…

A: 8.  The y-intercept is -4.   The function has no x-intercepts.  As x→∞, f(x)→-∞ and as x→-∞, f(x)→-∞

Q: For what values of the constant c is the function f continuous everywhere? f(x)={ cx^2-4x if x<-2…

A: The given data is: fx=cx2-4x, if x&lt;-25x3-c2x, if x≥-2 To find the value of c if the given…

Q: (Bx2 – 3 Bx +2 if Suppose that f(x) = x< 2 if Find the value of ß so that f(x) is continuous…

A:

Q: 3. Do you agree with the contention that the functions f(x) = x+2 and g(x) x-2 are the same in every…

A:

Q: (2ł – 5) 7 (n² –5) For the function f(x) , find ƒ=1(x). - f- (x) = V (x + 5)° Of-'(x) = Væ5 + 5 O…

A:

Q: 6) Suppose that f(x) = x2 + 2 for -2 s x S 2. The range of the function is : a) O {y : 2 < y < 6}…

A: Given            f(x)=x2+2

Q: 1 The functionf is defined by f(x)= 2–Vx+ 5 for-5<x< 0. (i) Write down the range of f.

A: The objective of the question is find the range of the function f(x). And  solve the composition of…