31. The graph in Figure 4 could be a portion of the graph of which of the following functions?

Q: Draw the graph of a function for which the conclusion of Rolle’sTheorem does not hold.

A: To draw the graph for which Rolle's theorem does not hold.

Q: Consider the following graph. y 5 -3 -2 -1 3 -5 -10 Identify the parent function represented by the…

A: Given problem:-

Q: Suppose that the graph of f(x) = x 4 - x 2 is compressed horizontally by a factor of 2 and then…

A: Whenever a graph is compressed by a factor a, the function of the graph is multiplied by the factor.…

Q: Choose the corresponding function for the following graph: 25 2.5 2.6 2.5 2.5 25 25 o 242 O +2 2x…

A:

Q: Select ALL the graph(s) that correspond to one-to-one functions. 4 4 -2 -2 -4 -4 -51 -51 -2 -1 -2 -2…

A:

Q: 1 5. 6. The graph of the SLOPES of the red function has which color? blue black green orange 31

A:

Q: QUESTION 6 Determine whether the graph is the graph of a function. O Yes No

A: A curve is a function if, for every value of x there exist a single value of y Here if we draw a…

Q: Sep 21, 9:45:48 PM Determine whether the following graph represents a function. 10 8 -10 -8 -6 -4 -2…

A: Given query is to determine that given graph represents a function or not.

Q: If (4, – 1) is a point on the graph of f(x), which ordered pair must also be on the graph of y = f(x…

A: Given (4,-1) is a point on f(x) graph. The graph of y = f(x+4) + 1 can be obtained from the graph of…

Q: 10. Is the following graph the graph of a function?

A:

Q: Describe how the behavior of the graph in Figure 10 near x = 1 can be predicted by the simplified…

A: As x approaches 1, the function becomes undefined.

Q: Which graph in Figure 16 could be the graph of f(x)=x* + ax³ + bx² – 5x – 6 where a > 0, b > 0? (a)…

A: Given function is  f(x)=x4+ax3+bx2-5x-6 where a>0, b>0

Q: Which of the following graphs appears to be a function? 10

A: To find which of the given graphs are a function We know that, every x-value of a function must have…

Q: Function Family Domain Range III

A: Given that  function is hx=x-3+2Solution

Q: ty 4 |-2 O 2 4 -2 -4

A: The given graph is a straight line passing through the points -5, 0 & -3, -3 when x<-3, the…

Q: Example 1 Graph the following functions

A: We have given function y=2sin3x+π4=2sin3x+π12 Amplitude of function=2 Period=2π3 Phase shift is π12…

Q: 13 Graph the following piecewise function. 2x – 1, r <1 -x + 2, 2 <a < 5 { f(x) = LINE RAY SEGMENT

A:

Q: Select all of the following graphs which are one-to-one functions. 43 2 5 4 3 2/1 12 -5+ 4 3 1 2 -5+…

A: A function f is 1 -to- 1 if no two elements in the domain of f correspond to the same element in the…

Q: > Question 64 Draw the graph of f(x) = 2"+5 10+ 7 4- 3- 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 I 2 3 4 5 6 7…

A: Graph

Q: Find the period of the function whose graph is shown below. f(x) 6 4 2- 2 4 68 2+ 9- 8- -4 -6-

A:

Q: 4. What type of function does this graph show?

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

Q: This graph is a function because: A) for every "x" (input) there is only one "y" (output) B) there…

A:

Q: 0 1

A: Here, we are going to apply vertical line test.

Q: 5. Graph the following function: f(x) = /x – 2 6. Graph the following function: f(x) = 3|x-1|

A: 5) The graph is shown below:

Q: _a. Which of the following graphs is the graph of f(x) = (x + 3)²(x – 2)? 1. 2아 2. 2아 10 -10 10 -10…

A: Given:  y= f(x) = x+32 (x-2)Along   x-axis:…

Q: Suppose the graph of y=x3 is shifted 2 units up and 3 units left. Which of the following functions…

A:

Q: Which of the following is a graph of F = (1, 0, 0)? O

A: To find out the correct option.

Q: (b) If the point (5,3) is on the graph of an odd function, what other point must also be on the…

A: Odd functions are symmetric about the origin and satisfies f(-x)=-f(x) If (5,3) is on the graph then…

Q: Show corresponding parent function table for this problem

A:

Q: Graph the following and identify the vertex: on the graph provided on the Recording Sheet f (x) =…

A: Given query is to graph the given function and find its vertex.

Q: Please show work and Which graphs are one to one please

A:

Q: if s -2 { =-1 if -21 Sketch a graph of f(x) = -3 4- $43 2 1 2 3 Clear Al

A: we have to sketch the graph of fx=-3        if   x≤-2x-1      if    -2&lt;x≤1-3       if      x&gt;1…

Q: 18. At which points is the function shown in the graph discontinuous? 6. 3 -6 -3 6 x -3 -6- 9. 3-

A: Given - Graph of function To find - Points of discontinuity

Q: 3. Determine whether the graph belongs to a function. а) b) c) yA yA

A: Concept Function definition:  A function is defined as a relation between a set of inputs having one…

Q: Select all of the following graphs which are one-to-one functions. 3- D 0 O eie 2 1 --5-4-3-2-1 -1…

A:

Q: 6. The graph of a function f, which consists of two line segments and a quarter circle, is pictured…

A: As per the Fundamental theorem of calculus, the derivative of the given function H(x)=∫-2xf(t) dt…

Q: 01. What is the axis of symmetry for the function graphed. А. у %3D —2 С. х — —2 В. х 3D 2 D. y = 2…

A: Consider the given graph of a function. The objective of the problem is to find the axis of symmetry…

Q: Draw the graph of f(z) = 6-4

A:

Q: 17. Which of the graphs in Figure 20 is the graph of a function satisfying f-1 = f? %3D (A) (B) (C)…

A:

Q: Which statement is true about the relation shown on the graph below?

A: To be a function , there shouldn't be multiple y values for a given x. Here the given graph doesn't…

Q: (i) Find the formula for the function graphed. 4+ 3- (2,2) 24 5 4 12 3 45 1+ 24 3+ -4

A: Let the point (0,0) be O, (2,2) be A and (4,0) be B. Substitute 0 for y1 ,2 for y2,0 for x1 and 2…

Q: 4. If the point (2,8) is on the graph o following functions? Explain your a) y = f(x – 2) b) y+3 =…

A:

Q: 9. Graph the following: f(x) 2 - (r – 3)(x + 1)

A: Given- fx≥-x-3x+1 To draw- The graph of the above ineuality.

Q: d. If x -hl<3 is a general description of the number of sentences above, make a general statement…

A: Modulus results in two equations....        x - h  ≤ 3   =&gt;   x  ≤  h + 3      h - x  ≤  3  =&gt;…

Q: Which of these graphs depicts when the blue function is less than the red function for the interval…

A:

Q: 1. Which of the following graphs illustrates a one-to-one relationship? W. (1) (3) (4) 2. Which of…

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

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.