Q3- Find the functions f,g s.t fog= (x + 1)5 Q4- Sketch the graph of the function f(x) = -x² – 1

Q: 5. Describe the graph of the function at its roots: f(x 2) (x + 6) (x + 12) a. At x = 2, the graph…

A: To describe the graph of the given function on the given roots.

Q: 6. There is a function x(t) = 2 − 3t+ (10)t² a. Make a {t, x(t)} axis and sketch this function on…

A: The Solution is given below-

Q: Find the x-intercepts, correct to four decimal places, of the graph of the function g(x) = 4tan2 x -…

A: g(x) = 4tan2 x - 8tan x + 3 We need to find the x-intercept

Q: 9. The graph of the function is sketched as follows: Y 38 Determine the interval(s) on which the…

A: By observing  graph in first part function is decreasing in interval [-8,-1] in second part function…

Q: 10. Given the function x1 find f(-125), f(0), f(64), and draw the graph of f(x).

A:

Q: Find the values at which the transition points occur, if any, of the function. - 2x + 8 1 f(x) -…

A: Find transition point

Q: Consider the function g(x) = (x^4) + (6x^2) +17. Locate and classify all relative minima and maxima.…

A: Given that g(x)  = x4 + 6x2 +17 find local minima and maxima. Here i attached solution of this…

Q: 24. The graph of f(x) is given below. Based on this graph detemine where the furction is…

A:

Q: 18. The graphs of f'(x) and f"(x) are shown below. Which of the following statements best describes…

A: Here we have a graph of f'(x) is

Q: a Graph the function b. For x < 0, what is ƒ′(x)?c. For x > 0, what is ƒ′(x)?d. Graph ƒ′ on…

A:

Q: 4. The graph of a function f(x) is given below. 4. In the interval (-00, -3) a) f'(x)>0 and f"(x)>0…

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Q: Use the chemical reaction model with a given general solution of y=. y = 95 grams when t = 0; y = 14…

A: The function f(t) is a rule that associates or fixes a number to the particular point t. A…

Q: 2. Below are the graphs of four functions ++++ (I) (II) (III) (IV) a) Identify which of the graphs…

A: (a) Vertical line test states that if a vertical line intersects the graph in all places at exactly…

Q: 1. Examine the function graphed below. Given that C 0, write the function in the form y= A trg Br+ D…

A: Please see the explanation below

Q: Let H(x) = f(x) + 3g(x), where the graphs of f and g are shown in the figure to the right. Find…

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A:

Q: (2) EL At what point does the graph of the following function has inflection point y = Vx2 – 4 the…

A: Solution-

Q: Let P = 1x, y2 be a point on the graph of y = 1x.(a) Express the distance d from P to the origin as…

A: It is given that, a point P=x,y is on the graph of y=1x a) Use the distance formula to find the…

Q: Sketch the graph of the following curves by s stretching the graph of the given functions appr (a)…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Q. No. 2 a) Sketch the graph of function f(x) (2x-3 if -3SI<0 S(x) ={r if OSI<2 2sr55 if

A: the given function is: fx=2x-3     if   -3≤x&lt;0x2           if  0≤x&lt;2x          if  2≤x≤5 we…

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A:

Q: Find the point on the graph of f(x)=(x+1)2 that is closest to the point (-5, 1). Round to three…

A:

Q: - NASA launches a rocket at t 0 seconds. Its height, in meters above sea-level, as a function of…

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: Consider the function y = f(x) graphed below. The two points marked on the graph are A = (-1, 3) and…

A: To find the formula for the given points and graph.

Q: Determine If the following statements are TRUE or FALSE regarding the graph of the function f(x) =…

A:

Q: 2. For the function g(x) = 9-(x+1)° do the following. (a) Sketch the graph of g on the axes…

A: Solution is given below:

Q: Q2/ For the given function x² + y² = 4,find a) Domain and range for the function. b) Graph of the…

A:

Q: Nuclear energy derived from radioactive iso- topes can be used to supply power to space vehicles.…

A: Consider the given function. y=40e-0.004t Put t=180 in the above function.…

Q: The following applet shows the graph of f(x) = 1.5", f(x). Use the applet to vary the value of x…

A: follow next step

Q: Use the graph of y f(x) to graph the function g(x) =f(x+ 1) - 1. Choose the correct graph of g…

A: As we know that, if the graph of the function fx transform fx+a ; it means that graph shifts 'a'…

Q: A 10-gallon barrel is filled completely with pure water. Salt water with a concentration of 0.3…

A:

Q: f1 – x² if x s0 l2x +1 if x >0 (a) Evaluate f(-2) and f(1) 5. Let f(x) = (b) Sketch the graph of f

A:

Q: 4 - 5cost Differentiate the function F(t) 12

A: Ft=4-5costt2To differentiate the function

Q: B2: a) (10] Sketch the graph of f(x) = = over the range -10 sxs 10. b) [5] One of the roots of f(x)…

A: We have to solve a and b.

Q: . Il the function h(x) is defined as vertical stretch by a factor of 2 followed by a reflection in…

A: Please refer to the image below

Q: 17 April shoots an arrow upward and into the air at a speed of 32 feet per second from a platform…

A:

Q: 8. (a) Sketch the graph of f'(x) by using the given graph of y = = f(x). I ¦ f(xX ¦ 11 r-x--r 14

A:

Q: The temperature, 7 °C, in an office is controlled. For a particular weekday, the temperature at time…

A:

Q: Find all point(s) of inflection, if any, of the graph of the function f(x) =x* – 2x'. с. (-1, 3) а.…

A:

Q: 2. The population of deer after t years in Cedar State Park is modeled by the function P(t) = 1001/(…

A:

Q: Q4. Let y = a2 - 6r +5 be given. (a) Find x and y intecepts (if any) of the given function. b) Find…

A:

Q: (g) The graphs of the functions f (t) and g (t), for the domain t 2 0 are shown:

A: The rate of change of the value of a function at a point is equal to the slope of the tangent to the…

Q: er the function f(x) = (x +1)( x-1)2, At what value of x will the graph of f cross the y-axis ?

A:

Q: 5. The height of a chair on a Ferris wheel is described by the function h(t) 15cos(t − 4) + 18 where…

A: Let's find possible height of ferris wheel.

Q: 2. For the function g(x)=9-(x+1)° do the following. (a) Sketch the graph of g on the axes provided.…

A: Solve the parts d and e only

Q: 8. A rocket is fired vertically upward such that its position function is s(t) = 640t – 16t? (t is…

A: Given position function is: st=640t-16t2 Differentiating with respect to t we get,…

Q: Q.3 Sketch the graph of f(x)=x+÷, Using graph of f sketch the graph of y= f(x)-1 y=f(x-1),y=f(2x)…

A: Consider the function  fx=x+1x   Graph fx=x+1x