1.5x + 5 if x <- 2 Sketch a graph of f(x) : 6. if -2

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: 2x + 6 if z 2

A: Consider the given function, For the interval x ≤ -3 it is the line f(x) = y = 2x + 6. To draw 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: 52. Let if x 2 | (b) Sketch the graph of g.

A: Domain of g(x) is divided into parts.We have to draw different path for different part of domain.…

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: Suppose the graph of f(x) = 1/xis stretched vertically by a factor of 4 and then shifted down 3…

A: Given function is fx=1x. We know that if graph of function fx is stretched vertically by c units…

Q: 2x+3 if x<-1 Graph f(x) = -2 if -1<x<2 on the graph below. 1 -2x if x22 y 5. 4- 3 2- 2 -5 -3 -2 -1…

A:

Q: Find the formula for a function that has a vertical asymptotes x=4 and x=6 and a horizontal…

A: The easiest type of function to use for these types of problems are rational unctionsFor vertical…

Q: Graph the function

A: The graph of the function f(x)=1-x is shown on the board:Some of the point aref(x)=1-xyx=-3,…

Q: 4. The graph of the function f(x)= /16-x² is a half-circle. If we shift this graph 2 units to the…

A:

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

A: In this question with the help of graph theory we have to find the points where function is not…

Q: 0. if x -1 . Graph the function f.

A: Given the function f is f(x) = 0if  x&lt;-13if  x=-1-3if  x&gt;-1

Q: Describe the behavior of the function h  around its vertical asymptote at x= -5 for the equation:…

A:

Q: what is the graph of the following function (2x+1)(x+2)/(x-1)(x-3)?  where are it's vertical and…

A: The objective is to draw the graph and find vertical and horizontal assymptote.

Q: 6. Dharma graphed the parent function f(x) = x and h(x) on the same grid. If h(x) is steeper than…

A: The function f(x)=x represents linear equation. So, the graph of f(x) should be a straight line. If…

Q: suppose (-2,1) is a point on the graph of y=f(x). what is a point that will be on the graph of…

A: Topic - functions

Q: 8. Given (x) - x', sketch the graphs from y = f(x) to 1 1 (x + 6) 2 (x - 5 = -

A:

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: Suppose that the function y=f(x) is decreasing on the intervals (8,3) what can be said about the…

A: Question is solved.

Q: 8)If f(x)=x/(x-1)^2, f(x)=(x+1)/(x-1)^3 f"(x)=(2x+4)/(x-1)^4 Graph this function using all available…

A: Given function is: fx=xx-12 A function is sad to be undefined at a point where its denominator…

Q: 2. How does the value of k affect the graph of f(x) = (x- h) + k?

A:

Q: {2*+1 if x<0 etch the graph of f(x)=X+3 EO

A: We will graph the problem.

Q: Sketch the graph of the function. 4+x if x < -2 f(x) = {x2 %3D if -2 sx < 2 6- x if x 2 2

A:

Q: 2x 4 if x 1 구 6- 5- 4 -8-7 -6 -5 -4 -3 -2 -I 2 5 6 -2 -3 -4- -5 -6- -7- Clear All Draw: 2]

A:

Q: f(x) = x – !

A:

Q: on a piece of paper graph f(x) 2x if x <3…

A: Y = 2X      IF X&lt;3 Y = 4        IF X&gt;3 PLOT THE GRAPH,

Q: The graph of y = f(æ) is given below. 3. 4 -3 - -1 2 3 4 5 1.

A: The given figure is,

Q: how does the graph shoft from f(x)=2x to f(x)=2x+4

A:

Q: 2. Use the graphs of y=f(x) and y= g(x) to sketch the graph of y=h(x). Hint: Estimate the function…

A: answer is in next step.

Q: Suppose the function below describes a physical situation that makes sense only for numbers between…

A:

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: (x2 – 6 if x < 1 12x – 5 if x 21' 8) Graph: f(x) Must show your work by creating a table of values.

A: To draw the graph of the given function first we find the function values corresponding to some x…

Q: 2. How does the value of a affect the graph of the general function ru y = af(x - h) + k? 3. How…

A: a decides the direction of parabola. If it is positive graph opens upwards, if it is negative, graph…

Q: The graph of f(x)=x^2 was transformed to create the graph of g(x)=f(x)-9. Which statement about the…

A: I have provided solution in step 2.

Q: Suppose the graph of f (x) = x1/3is vertically stretched by a factor of 3 and then shifted down…

A: Given information: The function is f(x)=x13is vertically stretched by a factor of 3 and then shifted…

Q: 0. if a 2

A:

Q: -x – 5 if æ 4 Sketch a graph of f(x) = 1 %3D 6+ 4+ -8 -7 -6 -5 -4 -3 -2 -1 -2 -4 -5- -6- -7-

A:

Q: y 57 4+ 3- Graph of f(x) to -5 -4 3 2 1. 3 4 5 2. 2.

A: Given graph is a parabola:

Q: The graph of y = f(x) has ƒ(5) = − 5, ƒ'(5) = 1, - - and f''(5) = - 1. Which of the following might…

A: Given query is to find the graph of the function.

Q: [5] 1. Describe how to obtain the graph of g from the graph of f(x) = √x. f(x) = √√x - 3+2 3 to the…

A:

Q: 7. A line x = 4 is a asymptote for the graph of a function f(x) , if

A: Vertical asymptotes of a function is the value of the variable for which the function does not…

Q: x + 4 if x 1 |

A:

Q: Suppose (12,4) is a point on the graph of y=f(x). What is a point that will be on the graph of…

A: Given that f(12) = 4  We will use this fact to find the answer as shown below

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

A:

Q: Select the graph which satisfies all of the given conditions. f'(-3) = f' (2) = 0 Increasing on (-3,…

A:

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: 3. Create a graph of the function: f(x) = 3 – x Ay 543 4.

A:

Q: point

A:

Q: 5. Explain why the graph of the equation below has no vertical asymptote: f(x) x2 + 1

A: Givenf(x)=1x2+1

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.