11) Sketch the graph of the piecewise function below. |x + 8| + 3 f(x) = -(x-1)² -3 -5sx< 3 2/3x + 2 x<-5 10 x 2 3 5- -5 -10 -10 10

Q: etch a graph of f(x) = 4 -3 -2 -1 5 4 3 2- 1 -1 -2 -3 -4 -5 if x 2 1 2 3

A: Topic:- function

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: 6- Complete the description of the piecewise function graphed below. -6 -2 -2- -5- 8- { if -6 <x < -…

A: Will find this function by finding the equation of the three different straight lines.

Q: 14. Identify the graph of the function below: f (x) = 2* – 3 -3 -1 -8 -7 -6 -5 -4 -3 -2 -1 1 2 -1 1…

A: satisfy function value at some point

Q: Sketch a graph of f(x) = |2 - 1- 2 1.

A: Given Data: Function: fx=12x-1-2 ......1 Substitute different values of x to obtain values of f(x).…

Q: 6) Sketch the graph of the following piecewise function. x 3 x – 4 h(x) = 7 x² – 1

A: Given ,  h(x) = x - 4 ; x &lt; -2 Then ,  h(-3) = -3 - 4 = -7 h(-4) = -4 - 4 = -8 And  h(x) = 7 ; -2…

Q: 23. List the sequence of steps required to graph the function f (x) = -(x - 4)2 – 6 %3D

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 7) Sketch a graph for f(x) 3 + 2-x

A: To plot the given function:

Q: 1. Find x- and y- intercepts of the graph of f, if it has any.

A: Note: As you have posted the multiple numbers of questions, so we are going to solve the 1st…

Q: Sketch a graph of f(x) : -3 if a 2 5- 4 2 5 4 -3 -2 -1 1 2 3 4 -2 -3 -5-

A: For x≤ -1 , y is fixed at -3  For x&gt;2 , y is fixex at 3  For -1&lt;x≤2 , y=x  For this, we make a…

Q: The graph of f(x)=-x-5x+6 has the point (2, -6) on it. O True O Fals

A: Ans: False

Q: Sketch the graphs of the following function. f (x) = 1 - 3x + 3x2 - x3

A: we have to sketch the graph of the function f (x) = 1 - 3x + 3x2 - x3

Q: Sketch the graph of a functionf having the following characteristics f(2) f(4) 0 f(x)0 if x > 3 f(3)…

A: First point represents the the x-intercepts. Second and fourth point is telling that the graph is…

Q: 19. Determine the end behavior of the graph of f(x) = 3x4 + 2x - 5

A:

Q: 6- Do a complete analysis to sketch the following function. F(x)=2x-x²/x²-2x+1

A:

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: 11. Choose the correct graph of the piecewise function and also find f(-1). (-) { x + 3, x -1 O…

A:

Q: 1 if x 1 5- 4 -5 -4 -3 -2 -1 2 3 4 5 -2 -3 -4 -5+ Clear All Draw: /

A:

Q: 3 Sketch a graph of the function f(x) = ax(x + 3)°(x – 1) , for some positive constant a. -

A: Given, f(x)=ax(x+3)3(x-1)2 To sketch the graph of the given function f(x). The given function is not…

Q: 3 if x 1 5t 4 -5 -4 -3 -2 -1 2 3 4 -2 -3 -4 -5+ Clear All Draw: Note: Be sure to include closed or…

A: It is required to plot the given piece wise function.

Q: 6. Make a clear, well-labeled graph of the piecewise-defined function below. (-x-10 if x 10 if f(x)…

A: We want to plot the graph.

Q: 4. Classify the function on the graph as odd, even, or neither. 2 2. 4 -2,

A: Graph of the function is given, we have to find it is odd or even or neither

Q: 3. Show algebraically that the function f (x) x* – - 2x + 5 has even, odd or neither symmetry.

A: To find out that the function has even, odd or neither of these symmetry.

Q: The graph below is the function f(x) 5- 4 3 -5 -4 -3 -2 -1 -1 1/2 3 4 5 -2 -3 -4 of -5- lim f(x) = x…

A: We have given the graph of function f(x) and we have to find out f(x) when lim x→0 and f(x) at x =…

Q: Suppose a function f(x) has the following graph: 4 2- -4 -3 -2 -1 1 2. 3 4 -1- -2- -3- -4 Write a…

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: Which is the graph of the function f (x) = 4Vx 2 - %3D 10 21 -21 10 -10-8 6 -2 10 -10-86 -10 10 8.…

A:

Q: The following is the graph of the function f(æ) = { 4+x – x2 if x 2 if –1 < x < 2 3x - -4 0- -5 -10…

A:

Q: 5. Sketch the graph of f'(x) on the graph of f(r) provided.

A:

Q: Find the intervals on which f(x) = - (x+ 2)(x + 0.5)(x – 3.5) is positive by plotting a graph. f(x)…

A: follow next step

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: 9) Sketch the graph of the piecewise function below. 4 IS-7 -7 3

A:

Q: The graph of f (x)%3D-x-5x+6 has the point (2, -8) on it. True O False

A: given function :

Q: 13. Use the idea of transfr-mation to sketch the function y = -2f(x+2) + 3 if the graph of y = f(x)…

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

Q: Sketch the graph of f.

A: The given function is fx=x-11-x2. Sketch the graph of the above function as shown below.

Q: 3 if x 1 5 4 5 -1 -1 -5 -4 -3 -2 2 3 4 -2 -3 -4 -5 Clear All Draw: 2] 2.

A:

Q: 3 if a 2 5- -5 -4 -3 -2 -1 -1 4 -2 -3 -4 -5- Clear All Draw: 3.

A: The sketch of the given function has been provided in next section.

Q: 9. Sketch the graph and determine the domain and range -x', x 2

A:

Q: 8 Find the domain of the function f(x) x-7

A: Domain:- All those values of x such that f(x) exist.

Q: 5. The graph of f(x) = x² is given below. Graph -(x).

A: Given graph of function  , f(x)=x2, and we have to draw a graph of -f(x), For graph look at step 2

Q: 1 if x 2

A: Given the piecewise functionf(x)={1   if x≤-2-x-1  if -2&lt;x≤2-2    if x&gt;2  We need to graph the…

Q: Show that the graph of f(x)= x6+4 is symmetric with respect to the y-axis without actually drawing…

A: Given: f(x) = x6+4 Graph of a function f(x) is symmetric with respect to y-axis is f-x = fx

Q: 9. Find the domain, range of the set of piecewise defined function and graph h(x) = { (-2, xS3 12,…

A: The given piecewise function is h(x)=-2,x≤32,x&gt;3

Q: 9) Sketch the graph of the piecewise function below 4. f(x) = x+ 2]-3 IS-7 -7<x53 10 2x-5

A:

Q: 11) Sketch the graph of the piecewise function below. |x +81+3 f(x) ={-(x- 1)² - 3 -5<x<3 2/3x + 2…

A:

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

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: 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: х — 6 if x 1 | 7

A: GIven:f(x)=-x-6   if x≤-2  -3         if -2&lt;x≤1x-4      if x&gt;1To sketch the above piecewise…

Q: Determine the open intervals on which the graph of f(x) = (x2 + 1)/( x2 − 4) is concave upward or…

A: To find the open intervals

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.