4. (a) Define funetion with examples. Find the domain of the following functions: (if(x)- X-2 3x (i) f(x) %3D (x+3)v3x-15

Q: (2x+5 if x<-1 6. Sketch (By Hand) a graph of the piecewise defined function: f(x)=- 5-x if x2-1

A: The domain of the first piecewise function f(x) = 2x + 5 is all values of x which are less than…

Q: f(x) = x4 – 8x2

A: Topic:- calculus

Q: 11) Sketch the graph of the piecewise function below. |x + 8| + 3 f(x) = -(x-1)² -3 -5sx< 3 2/3x + 2…

A:

Q: 3. graph the ratlonai functiong f(x) = 7x+3_

A:

Q: x2-4 b) lim (5p) X-2 x-2

A: We will factorise the numerator first

Q: 3-5x (f) lim オート エー4

A:

Q: 2. Graph the piecewise function. 3x f(x) = -2x + 3 if-1< x < 4 2 if x 2 4 5 if x s-1 %3D

A: we have to add three different sub graph to make it

Q: (3 - 35. f(x) = if x 2

A: We need to sketch the graph of the following function :

Q: 6х2+1 2. Find lim X→0 V4x4+3x+1

A:

Q: ACTIVITIES 1. Evaluate the following funetions at x-7 a f(x)--18x -19 b. E -9x + 28x 24 c hx- -6x+…

A:

Q: 4 2 . 02- 9f 2xS 9x) s X-X+2 lim

A: Given: 2x≤gx≤x4-x2+2

Q: . If f(x) = 3x find the image and preimage of 6.

A: Given: fx=3x To determine: Image &amp; Preimage od 6.

Q: The equation of a quartic function with zeros -5, 1, and 3 with an order 2 is: * O f(x) = k(x - 3)(x…

A: We have to find the equation of quartic function with zeros -5, 1 and 3 with an order 2. Since,…

Q: (x² – 3 if x<2 5-x if x22 Sketch the graph of the piecewise defined function: g(x)=<

A: The given function is:

Q: snip

A: To plot the graph of f(x), substitute some arbitrary values of x in f(x) and obtain corresponding y…

Q: Page of 4 3) Consider f(x) = (x –1)°(x + 2)². a. What are the zeros? b. What are the multiplicities…

A: Topic- zeroes of function

Q: 2cosh(z) -z-z2 lim 1 12 3 12

A: Second option is correct.

Q: Pls help me quick

A: We have to find the maximum and minimum in the given interval

Q: 24. lim 4- 2x x-2

A:

Q: b. limx-3= In(x-2) %3D X-3

A:

Q: 8. There is a jump discontinuity at x = 2 and f(2) = 3

A: Follow the procedure given below.

Q: f(x) = x – !

A:

Q: 2 is the graph of f(x) = -2/3 x – 3. -6 -5 -4 -3 -2 -10 1 2 3456 -2 -3 -4 -5 O False True

A:

Q: _15. lim X-4 2x-8 is x+4 a. 0 b. -6 c. 2 d, does not exist

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: (-1)*k² 3k 3x+4x +5 lim a x + 6x +7 lim 12 00 k=1

A: Given, limn→∞∑k=1n(-1)kk23k=limx→∞3x3+4x+5a5x3+6x+7

Q: Example 11 Determine all horizontal asymptote for the function 1-x f (x )= x² +x -2

A:

Q: 3 3 The value of lim x+ h 2h is . O -3 -2 3x2 -3 O -3 2x2

A:

Q: 7. Graph the piecewise function for for -4<x <-3 - 3 < x <0 T<-4 -4x 13 f(x) = %3D x2-6x 7 for for 0…

A:

Q: a) Evaluate V9x(x² – 3x +2) lim (3х — 3)

A: To find the limit:

Q: -x²y² lim (x,4)→(0,0) (x³ + y³) e¯ x² + y²

A: Consider the given expression. limx,y→0,0x2+y3x2+y2e−x2y2 Put in the expression y=mx.…

Q: 6. Graph the piecewise defined function. 1x+4] if x2

A: We will make a table for each piece of the function y=|x+4| , x &lt; -3 x -3 -4 -5 -6 y 1 0 1 2…

Q: -3x + 4 a) lim x-2- x2 - 4 x2 b) lim x-3* x2 + 2x – 15 2x4 + 5x3 - 2х- 3 9x + 10 c) lim 5x7 + 2x6 –…

A: a) limx→2--3x+4x2-4=-3(2)+422-4=-6+44-4=-20=-∞limx→2--3x+4x2-4=-∞

Q: 21. lim V2x-6 -3+

A: Topic  = Limits

Q: Find the linearization at x = a. f(x) = 3x², a = 1 (Use symbolic notation and fractions where…

A:

Q: 6) lim х-1 3x+2 6) А) 0 C) does not exist D) 1

A: Please see the answer below.

Q: 1.Find the domain of (x) X-4

A:

Q: 4. a) Suppose that for some specific problem, heuristic function h is admissible. Is h? admissible?…

A:

Q: 3. Evaluate the lim(2x – 7). x-4 а. lim(2x — 7) %3D 2 x-4 b. lim(2x – 7) = 1 с. lim(2x - 7) %3D7 x-4…

A: Given statement, The limit of a function is the value it approaches as the value of x approaches a…

Q: What is the run-time complexity of the of the recursively defined Closed form function T(n)=3T(n-1)…

A:

Q: 7- -6 -5 -2 4 -5 -6 -7

A:

Q: Find the maximum and minimum limits of the function X-2 (x + 2)²

A: Explanation of the answer is as follows

Q: 5 if x 1 5 4 5 -5 -4 -3 -2 -1 -1 3 4 -2 -3 -4 -5- 2.

A:

Q: True or false: The graph of f(x) = (x + 5)2 + 3 has its vertex at (5, 3)._______

A: For  f(x)=a(x-h)2+k, vertex is (h,k)

Q: 2. Find the value of k if the graph of k f(x) = 3x? has a point of inflection at x = -1.

A:

Q: 18. When is the function, f (x)=: 4 -3x? -3+ below the horizontal asymptote? x-1 5-4x-x2

A: It is given that the function fx=4x-1-3+-3x25-4x-x2. 5-4x-x2=5-5x+x-x2               =51-x+x1-x…

Q: Sketch the graph of the function. 4x +2, 4x2-1, -1 1 xs-1 k(x)

A:

Q: 1 Sketch a graph of f(x) = %3D 2 +1 4- 3- 2- -5 -4 -3 -2 -1 3. 4 5 -2+ -3 -4 -5+ Clear All Draw: on…

A: for given value of 'x' , find f(x) and draw the graph.

Q: 28. Graph of f" 2+ -1 2 3 4 5 +x+ 5 -4 4- 5. test to determine the local 2.

A: Graph

Q: 10 - f(x) = 1 center of symmetry of the fun х-3

A: Given that: f(x)=3x+1x-3