Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex of the graph of g(x) = (x + 2)2 + 2? A. g(x) = -(x- 3)2 + 2 B. g(x) = (x+7)² + 2 C. g(x) = (x + 5)2 + 2

Q: Use transformations of f(x) = x² to graph the following function. 10 g(x) = 3(x + 1)² – 4 Use the…

A: As we know that the graphical transformation: i). if fx→afx then the graph stretched by a factor of…

Q: Which of the following is a point on the graph of the function 5 - 3x f(x) = 4. (-5, 5) (2,-1) (1.4)…

A:

Q: Determine the end behavior of the graph of the function. m (x) = – 4(x+1)(3x- 2)²(x+ 5)ª As x → -…

A: Recall: The end behavior of a polynomial function is the behavior of the graph of f(x) as x…

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

A:

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: 2. Graph the piecewise function. 3x f(x) = -2x + 3 if-1< x < 4 2 if x 2 4 5 if x s-1 %3D

A: we have to add three different sub graph to make it

Q: 2. The graphs of the functions f and g are shown below on the same axes. If h(x) (8(x))4 wh f(x³) 12

A:

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: Q1// Graph and discuss, with detail, the continuity of the function -1 <x< 0 x2- 1 2x 0 <x< 1 y =…

A: The given function is y=fx=x2-1,-1≤x&lt;02x,0&lt;x&lt;11,x=1-2x+4,1&lt;x&lt;20,2&lt;x&lt;3

Q: Match the following graph of f to the graph of f'. 3 4 -3 2 ५

A: Given graph of f is a straight linePassing through (0,2) and (2, 0).Then equation of line Passing…

Q: Which of the following graphs is the graph of f(x) = 3(.5)* -

A: The graph of f(x) is given below.

Q: Which of the following set of piece-wise functions matches the graph shown? 3 if x 3 2r-4 if r>3 3…

A: b.    bx =   3                  x&lt;-3-x+2         -3≤x⩽3-2x-2         x&gt;2           Hence ,…

Q: 1. Match each function below with its graph. f(x) = -x++ 2x² + x -8 g(x) = x3 + 3x² -x +5 h(x) = -x5…

A:

Q: S-2x + 1, x < 0 x2 – 1, x 2 0 1) f(x) =

A:

Q: (x² – 3 if x<2 5-x if x22 Sketch the graph of the piecewise defined function: g(x)=<

A: The given function is:

Q: This is the graph of function f(x): + 222 +z: 1 2 -4 -6 -8 What is the graph of g(z) = =³ + ;=² +…

A:

Q: Here is a graph of the function f. 4+ -3+

A:

Q: 1.5x + 5 if x <- 2 Sketch a graph of f(x) : 6. if -2 <x < 2 -0.5x +7 if x 2

A: Here a function is Given, we have to sketch the graph of the given function. We have to identify the…

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: Q2// Sketch the graph of the function defined by the formula 0, x 1 |

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: 3. -2y = x + 4, 0 <x< 4

A: Given: The function is -2y=x+4. The interval for the function is 0&lt;x≤4

Q: Sketch a graph of f(x) 5 -5 = 4 3 -2 -1 12 1 -4 -3 3 Clear All Draw: Note: Be sure to include closed…

A:

Q: 1) Plot the graph of the following functions a) on the same graph using different colors and…

A:

Q: Consider the graph of the function f(x)=x3−11x2+30xx2−5x. Which is a removable discontinuity for…

A: Given fx=x3-11x2+30xx2-5x Which is a removable discontinuity for the graph? Select all that apply.…

Q: Which of the following graphs represents the function () ه کرد 4 f(x) f(x) 2 2x²+2x-12

A: Given function is fx=x2-4x2x0+2x-12

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: 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: Which of the following represents the graph of f(x) = 2* - 5? -7-6-5-4-3-2-1 3 4 5 6 7 -2…

A: Given: To identify graph of fx=2x-5

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

A:

Q: Determine the end behavior of the graph of the function. m (x) = -2(x-2)(3x+1)°(x+4)* As x→-00, m…

A:

Q: 12) Sketch the graph of the piecewise function below. 1/2|x-5| -x-8)2+6 f(x) = I>5 10 5n 10 -10 10

A: Consider the given function,

Q: Which of the following functions describes the graph of g(x)? -10- + O g(x)= O g(x)= (2) 2²-8 2²-8…

A:

Q: Sketch the graph of the function. xs -4 x + 3, g(x) = 1x - 2, x > -4 2 10 -10 9 4 2 1 123 4 S74+ 10…

A:

Q: Draw a machine diagram for the function.

A: To draw a machine diagram for the function                                                fx=3x-2…

Q: Graph f(x) = x. Ay 20- 16- Use the graphing tool to graph the function. 12니 Click to 8- enlarge…

A: We used graphing tool for plotting the graph. GeoGebra is used to plot the given graph.

Q: For the following graph of f(x) fill in the table below: AY 10 -05T 0.25 0.5x -5+ -10

A:

Q: -1 1 2 3 4. -1

A: The required graph will be the horizontal translation of the graph y=x3 as there in no change in y…

Q: Graph the piecewise-defined function. +2 for xs2 f(x) = 1 for x>2 4* Choose the correct graph. O A.…

A:

Q: Evaluate f( – 1) where f(x) is the piecewise function graphed below. 6 Of -3 -2 -2 -4- -5- f(– 1) =

A:

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: Consider the following function. 3 if x 2 - 8. Step 3 of 3: ldentify the correct graph of this…

A: The given function is,p(x)=3xif x&lt;2-78xif x&gt;2

Q: Sketch the graph of the function. [21x if || ≤ 1 if || > 1 f(x) ) = {2시 -3 -2 -1 -3 -2 -1 4 2 -2 y…

A: Topic - graph of a function

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: 2) The graph of the function +1, if 0 <r<5 f(x) = 3V5VT 51 if 5 <r< 10 is given in the figure below.

A: As requested, we will solve 2 (d) and 2 (e).   (d) To evaluate: limx→5msecx To do this, we first…

Q: Consider the graph of the function f(x)=x^3-11x^2+30x/x^2-5x   Which is a removable discontinuity…

A:

Q: Complete the description of the piecewise function graphed below. -6 -5 4 3 -2 - -2- -4 { x + 6 if…

A: We have to find the function

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.