1. Consider the graph of y= f(x).

Q: . Sketch the graph of y = m(x) in Figure 2. FIGURE 2. Graph of y = m(x) r- 3, rS-1 m(x) = 1< x < 5 2

A:

Q: f'(x) > Ofor 0 4. f"(x)>0 for -1<x<1

A: When f'&gt;0 then function increasing When f'&lt;0 then function decreasing When f''&gt;0 then…

Q: 6. Create a graph of the function: y = x(x – 2)²(x + 1) -

A: Graph of functions is given.

Q: Consider the following. y = (x − 6)2 + 1 (a) Tell how the graph of  y = x2  is shifted.

A: Please look at the graph below:

Q: Consider the graphs of y = f(x) and y = g(x) in the given diagram: y = f(x) y = g(x) Evaluate…

A: Given the graphs of y=f(x) and y=g(x). To find : (i) Evaluate fg0 (ii) Determine all x for which…

Q: Sketch the graph of f(x) = x + 2x. Clearly label the x-intercepts and y-intercepts.

A:

Q: Use the graph of y = f(x) in Figure 1.64 to obtain each of the following graphs: a. g(x) = f(2x) b.…

A: Given: y=f(x)

Q: The graph of y 2,10) -2 10 -9 -8 7 6 5 -4 -3 (-2.2) 0 -1- --2 -3- D Sama 1 2 f (x) is shown in the…

A:

Q: Let f(x) = a. f(2)= x if x ≥ 4 .a. Find f(2), f(4), and f(5). b. Sketch the graph of y = f(x). 4 if…

A:

Q: 7. For function f (x) = 2x2 – 5/2x + 3. a. Find x_intercept. b. Find y_intercept. c. Find axis of f…

A: As per our guideline we are supposed to answer first three subparts.kindly repost other question.…

Q: Let f(x) = x2- 2x. Graph y = |f(x)|. Graph y = f(x).

A: Givenf(x) = x2- 2x.

Q: Find the function g(x) which is obtained by reflecting the graph of f(x) about y axis and moving 2…

A: solution

Q: 1. Graph the function f (x) =x

A: Solution..

Q: The graphs of y = a-xand y = a (1/a)x are identical. Why

A: Simplify y=a1ax, using the quotient property of exponent, aman=am-n. To plot the graph of y=a1-x,…

Q: Use the graph of y=f(x) to answer the following. Part 1 of 8 (a) Determine /(-4). (-4)=0 Part 2 of 8…

A: given graph of f(x)

Q: 2. Let f a function such that f (-2) = 6, f (0) = – 3, ƒ (3) = 0. Give the coordinates of three…

A: Select the values of x such that  (x + 4) becomes the number for which values of  f(x) are given.

Q: 3. Find the slope of the curve of the function y = at the point P (2,-).

A:

Q: Find the range of the function y =1+ x2

A: Introduction :

Q: 4. Describe how the signs of h and k affect how to obtain the graph of y = f(x – h) +k from the…

A: Here, the objective is to describe how the signs of h and k affect the graph of function y=f(x-h)+k.…

Q: Make the graph for the following: 1. y=x3-2x+3 2. f(x)= (x-1)/(x2-x-1)

A: Given the function

Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.