Select the choice that is a graph of the function f(z) = - 4- I – 3 (x + 3)(x – 4) 4 -5 2 -3 -5 -2 -3 -3 4

Q: Match the function with its graph. f(z) = – 2(x – 3)² 6+ 4 -3 -2 -1 -6 -5 -4-3 -2 -1 -6 -3 -2 3 4 5…

A: The function is given by f(x) = -2x-32

Q: Sketch the graph of y = f(x + 2) - 1, where f(x) = x 2 for -2 ≤ X ≤ 2.

A:

Q: f(x) = x(x+2)3 (x-4)2

A:

Q: Use the graph of f(x) = √x to obtain the graph of g(x) = √(x - 4)

A: We first graph the parent function  f(x) = √x

Q: Use the graph of y f(x) to graph the function g(x) = f(x) - 2. y f(x) AY 6- 4- 4-

A: Here we will use vertical downward transformation rule for plotting graph of g(x) = f(x) - 2. Graph…

Q: Use the graph of f(x) = x2 to obtain the graph of h(x) = (x + 1)2 - 3.

A: To use the graph of f(x) to obtain the graph of h(x).

Q: Use the graph of f(x) = 2x to obtain the graph of g(x) = 2x + 1.

A: g(x)= 2x + 1 = f(x)+1 This means f(x) will move 1 unit up to make g(x). Graph of f(x) is:

Q: Given a function Ax) and g(x) =-x+1, how would the graph of y = f(x) compare to the graph of y=…

A: Given, a function f(x) and g(x)=-x+1.

Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x - 1) +4. y = f(x) Ay 8- 6- 4- -8 -6-4-2…

A: f (x – k) shifts the function k units to the right. Here k = 1. Given f(x),a new function…

Q: Use the graph of y = f(x) to sketch the graph of f'(æ). 10+ 7+ 6+ 5- 4+ 3+ 2-

A: In this question we will use basic of calculus i.e differentiation and sketching of curve. We will…

Q: Q3) Let f(x) = x², draw the graph of (x + 2)², what is type of this shifting and what is the value…

A:

Q: It is the graph of f' (x). y = f'(x) 3+ 1 -1- -3+ 5. 3. 1.

A:

Q: 6. For the function, y=x² - 4x - 5, complete the table then graph. -2 -1 1 4 2 10 -8 6 -4 -2 2468 10…

A: the equation given to us is  y=x2-4x-5

Q: The graph of g(x) = ax2 opens downward and is narrower than the graph of f(x) = x2  what is value a?

A:

Q: 2. Sketch the graph of the function (a) f(x,y) = /x2 + y²

A: See the attachment

Q: (a) Graph f (x) =x+2 for x 0. x+2 for x 0

A: 1.  Graph fx = x+2, for x≤0

Q: The graph of y = -f(x) is obtained from the graph of y = f(x) by reflecting in the__________ .

A: A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection…

Q: 2. f(x) = 3[ x]

A:

Q: 2. Graph the function: f(x) = S 3x 3x if x < -1 (2x +1 if -1 < x < 3 -2+ -3+ -5+ -6+ -7+ -8+ -9+

A:

Q: Use the graph of f(x) = |x| to graph g(x) = – |2x|.

A: To obtain the graph of y=-|2x| from that of y'|x| by using a sequence of transformations

Q: Find the point on the graph of the function y = 4 - x2 that is closest to the point (0,2)

A: Find a point (x, y), closest to the function.

Q: Determine the point(s) at which the graph of -7x f(x) = 2x - 1

A: Given function is: fx=-7x2x-1 Differentiating f(x) with respect to x we get,…

Q: 9. Find the points of inflection and discuss the concavity of the graph of the function h(x) = x(x -…

A:

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1

A: Given: fx=3x, gx=3x-1 for drawing graph of given gx, first we simplify gx so, gx=3x-1=3x.3-1=3x3

Q: Use the graph of y = f(x) to graph the function g(x) = -f(2x)

A: Given graph of y=f(x):

Q: Sketch the graph of y = f(2x) and y = f(½x), where f(x) = lxl + 1

A: It is given that, f(x)=|x|+1   and if y=f(2x), then the function will be, y=f(2x)⇒y=|2x|+1⇒y=2|x|+1…

Q: Use the graph of y=f(x) to graph the given function. 3+ 2+ -2 -1 y = f(x) 2.

A: Given: y-f(x) To find: y=f(-x)

Q: Q3:1) Is y = -V1 – x2 a function? 2) Graph the function f(x) %3D x< 0

A:

Q: Find the points of inflection and discuss the concavity of the graph of the function f(x)= x +…

A:

Q: Sketch the graph of the piecewise-defined function. -4x, xs -3 16) f(x)= {-4 + Vx, -3 1

A: Given :                f(x) = -4x,  x ≤-3-4+x,  -3&lt;x≤1-x+3,  x&gt;1 For the first rule :…

Q: Use the graph of y = f(x) to sketch the graph of f'(x). 10+ 9. 8+ 7+ 6+ 5- 4+ 10 -9 -8 -7 -6 -5 -4…

A: The point of inflection for the graph is obtained as .

Q: Use the graph to determine the function's domain an y 4 3 2 -5 -4 -3 -2 -1 3 -1- -2 -3ト 2.

A: Given query is to find the domain and range of the graph.

Q: Use the graph of y=f(x) to graph the given function. 4 y = f(x) -3 -2 -2- -3 -4- y=f(-x) 4. 3- 2-

A: Please see the below picture for detailed solution.

Q: Use the graph of y=f(x) to graph the given function. 4 3 2- -3 -2 -1 3 y= f(x) -1- -2- -3- ソ=f(-x) y…

A:

Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x)- y= f(x) Ay 4- -4 -2 -2-

A: =&gt;y=f(x)=2  =&gt;g(x)=2f(x)=2×2=4

Q: x +2 ()** Draw the graph of f(x) |10 구 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5 6 7 -2 -4 -5

A:

Q: Determine the intercepts of the graph of f(x) = -4x - and 0, 16 (3,0) and 0, and 0, 16 0 and 0, 16 O…

A: Please refer the attached image for complete solution.THANK YOU.

Q: Use the given graph of y = f(x) to solve graph g(x) = f(x - 1) + 1.

A:

Q: Sketch the graph of the function: f(x,y)=10-4x-5y

A: Given:

Q: To obtain the graph of f(x) = (x – 3)3 +7, shift the graph of y = x³ to the right units and up…

A:

Q: y 8, f(x) -6-5-4-3-2–1 1 2 3 4 5 9 10 -2kb -3 Match the functions with its graph 1. a) y = - f(x-4)…

A: 1) a)  y= -f(x-4) y= f(x) ---&gt; y = -f(x) , the graph of y= f(x) will be reflected about x axis…

Q: Use the graph of f(x) = x2 to graph g(x) = (x + 3)2 + 1.

A: fx=x2 The graph is,

Q: Use the graph of y =f(x) to graph the given function. 4- -5 -2 3 -4 y = -f(x) 3. 2. 1.

A: Consider the figure y=fx, which is given below From the above figure, y=x+3 if −4&lt;x≤−12…

Q: 3) Classify the type of the fixed points of the function : f(x) = x³

A:

Q: Use the given graph of y = f(x) to find the domain and the range of f.

A: Solution: Consider the given graph is  y = f(x) We have domain is defined as '' the set of all…

Q: 4. How are graphs of the functions obtained from the graph of ? (a) y=-f(x)          (b) y =2f(x)-1…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.