Below is the graph of function f(x) with restricted domain x>1. What is the range? -4- -3- -2- 1- 0. 2 3 -1- -2- A) ys4 B) y>3 C) y<4 D) ys3 O O O O

Q: When f(x)→b as x→±∞, y = b is a ________ ________ of the graph of f.

A: Here we have to fill the following blank,  When f(x)→b as x→±∞, y = b is a ________ ________ of the…

Q: Draw the graph of f(x) and discuss its differentiability at x = 1

A: It is given that fx=x2x≤1xx&gt;1. Recall the fact that formula for derivative of a function f at a…

Q: The graph below is the function f(x) 5+ 4 3 5 -4 -3 -2 -1 1 23 -2 -3 -4- -5+ lim f(x) = x →2 F(2) 2,

A:

Q: Suppose the point (0, b) is on the graph of f(x) = -x +1, then the value of b is

A: We have to find value of b.

Q: What is f(0) = on the graph and f(?) = 0?

A: Graph of f(t) is given.

Q: Suppose the graph of f(x) = x2is shifted up 2 unitsand to the right 5 units. What is the equation of…

A: graph of f(x) = x2is shifted up 2 unitsand to the right 5 units.

Q: Use the graph of the function to identify its domain and its range.

A: Domain is the x values and range is the y values.

Q: How might you restrict the domain of f(x) = x2, graphed in Figure 1.71, so that the remaining…

A: Given that, f(x)=x2 We have to Find How to restrict the domain of f(x)=x2  So that the remaining…

Q: Calculate , f(x) dx if the graph of f(x) is 41 2- 4 -2 -2 O 8-T O 8 + 47 O 8 + 27

A:

Q: What are the limits when x approaches 2-Let f(x ) = 1 / (x-2)

A: we have to evaluate the limit

Q: IS The function f(x)=\x3 Find The value of K, to continue The Function Con tinuous in intervaln X-2…

A: Answer

Q: Determine from the graph whether the function has any global extreme values on the interval [a, b].

A:

Q: 4. If f(x) = ax³ + bx², determine a and b so that the graph of f will have a point of inflection at…

A: If fx=ax3+bx2, then to determine a and b so that the graph of f will have a point of inflection at…

Q: List the x-values in the graph at which the function is not differentiable. 3 -2 - 1 1 3,

A:

Q: Find the intervals on which f (x) = x(x + 2)(x − 3) is positive by plotting a graph.

A: The graph of the given function is shown in the figure below.

Q: Determine the open intervals on which the graph is concave upward or concave downward.…

A: Given:    fx=20x2+3

Q: Show that f (x) = 2x2 -3 is an even function. Explain why itsgraph is symmetric about the y-axis.

A: Here given fx=2x2-3   A function is said to be an even function if f-x=fx Now…

Q: Here is the graph of y = 2x – x². 2- 1- -5 -4 -3 2 3 4 y -1- -2- Find two possible functions f(x)…

A: We need to find inverse function.

Q: y 6 3 1 -6 -5-4 -3 2 -1 12 3 4 5 -1 6 -2 -3 -4 -5 -6

A:

Q: What points is the function y=|5x-1|+7sin(7x) continuous?

A: we have given function y=5x-1+7sin(7x) we know that  sin(ax) is continuous everywhere hence sin(7x)…

Q: sketch the graph if x1 39. f(x) = {1 %3D -1 if x1 -1 40. f(x) =

A: As per our guidelines, we’ll answer the first question since the exact one wasn’t specified. Please…

Q: 2. If f"(2) = 0 then explain how the graph of f might NOT have a point of inflection at x = 2.

A:

Q: Determine from the graph whether the function has any absolute extreme values on the interval [a,…

A: To determine if the function has absolute value on the interval.

Q: Determine the intervals of concavity for the graph of f(x) =  lnx/x

A:

Q: at x = 2 and f(2) = 3

A: Jump discontinuity is when the two-sided limit doesn't exist because the one-sided limits aren't…

Q: r f(x)=x^2/(1+x), determine the concavity of the graph o

A:

Q: Give three characterizations of what it means for the graph of f (x) to be concave up at x = 2.…

A: Consider the given information as The graph of fxto be concave up at x=2. Concave down.

Q: Use the graph of f(x)below to answer the question. 3 On which of the following intervals is f(x)…

A: Given, Graph of the function f(x) We have to find the intervals where f(x) is continuous

Q: The function f  whose graph is given has a discontinuity at x=4 since  does not exist. Prove true…

A: Topic:- function

Q: 1,0

A: For the domain and range we see that it is a straight line, so the domain will be the set of…

Q: Consider the graph of the function f(x)= x^2-16/x^3-5x^2+4x Where is the removable discontinuity?…

A: The given function is fx=x2-16x3-5x2+4x. The removable discontinuity points are those points, where…

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: Does the following graph represent a function that satisfies the following condition f0) = -2, lim…

A: Topic:- calculus

Q: Let g(x,y)=y−6/(x+2)^2 Indicate the range of g using interval notation

A: To find the range of the below function. gx,y=y−6x+22

Q: Find and label as minimum or maximum the stationary points for: f(x)-x -20х+105

A: We will solve the problem

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: Determine the open intervals on which the graph is concave upward or concave downward. 18 f (x) = x2…

A:

Q: List the points in the graph in the interval 1 <x<7 at which the function is not differentiable 18-

A:

Q: Give the formulas for the piecewise function graphed at right. if f(z) if %3D if CS dwith CamScanner

A: The left-most part is a line joining (-5,3) and (-3,6)   Using the two-point formula we get:…

Q: 9. Sketch the graph of the function y = Va + 2 and determine the domain and range.

A: We have to draw the graph

Q: Find the limit of the function, f, as x approaches – 3. x2 – x – 12 - - f(x) = x + 3

A:

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: Sketch a graph of the piecewise defined function. if Jx| s1 l1 if ]x| > 1 A(x) = y 2 2 2 -4 -2 -2 y…

A: Sketch the graph of given function

Q: Previous Sketch a graph of f(x) - (r + 1)* + 2 5- 4 3 2 -6 -5-4 -3 -2 -1 -1 | 2 3 4 5 -2 -3 -4 Clear…

A:

Q: Based on the graph, find the range of y = f(x). 4. if-6 sx<-2 f(x) = Ixl if -2 sx<8 %3D if 8 sxs 13…

A: Range is those values of y, which has preimage x under given function f(x) that satisfies y=f(x).…

Q: Consider the graph of the function f(x) =x^2-9/x^3-2x^2-15x Where is the removable discontinuity?…

A: Given the function, f(x)=x2-9x3-2x2-15x    ⋯⋯(1) Rewriting equation (1),…

Q: Use the graph of the function f to decide whether the value of the given quantity exists. 3 -4 -2…

A: According to company policy we are allowed to provide solution for only first 3 sub parts. If you…

Q: If f (x) is the function whose graph is shown, on which interval is fincreasing? Use cursor to…

A: f(x) is the function whose graph is shown, on which interval is f increasing?

Q: On which intervals is the function f(x)=-2x^(3) +3x^(2) +36x+4 increasing? Do not draw a graph.

A: The objective of the question is determine the interval in which the given function is increasing.

Q: use graph f fX): 2* to sketch graph of transfirmedtil h (x) - Qx-3 %3D

A: The parent function is fx=2xTo sketch the graph hx=2x-3

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.