7. 6- -2 2. 6. he graph shows g(x), which is a translation of f(x) = Write the function rule for g(x). A g -5

Q: Suppose g is a linear function such that g(1.1) = 3.4 and g(-2) = 7.1. Find the equation for g. (Use…

A: Given, g is a linear function  g1.1 =3.4      and g-2 = 7.1

Q: 7. For the function f (x)=(x-2)° +1, a. Sketch the graph of over the interval [0,3].

A:

Q: 3. The amount of money ($125 per day) paid to substitutes at LHS depends on how many teachers are…

A: a)  Number of substitutes  =  20*0.8 + 2  =  18     Hence,  Money paid by LHS for substitutes  =…

Q: (i) Discuss the continuity of the function f(x) = {x2 − 3x    if x < 2              2x + 4     if…

A:

Q: (i) Discuss the continuity of the function f(x)= x^2-3x        if x<2…

A:

Q: 4. Consider the function: h(x) = = Evaluate the following: (a) h(-5) (b) h(-4) (c) h(-2) (d) h(-1)…

A:

Q: 14). a) Consider the function f(x) = x – 2e-* +1 for x 2 0. i) Show that the function is increasing…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: 3. Given the following graph a. Evaluate f(4) Solve for f(x) = 4 b. 3.5 25 1. 0.5 4 3.5 -15 0,5 1.5…

A: Topic:- function

Q: 1. Consider the function f(x) = -x² + 6x and the point P(2,8) on the graph of f.

A: Given data: The expression for the given function is f(x)= -x2+6x. The given point is A(2,8). (a)…

Q: Below is the graph of g', the derivative of some function g. 5 4. -6 -5 -4 -3 -2 3 5 6 7 8. -1 -2 -3…

A: see 2nd step

Q: 2 47) Use the graph of f(x) shown to the right to solve: a) f(x)-0 b) f(x)<0 y-f(x)

A: a) Consider the given function to be y = f(x). Solve the equation f(x) = 0 using the given graph as…

Q: Given that g(2)=4 and g'(2)=3, what is the value of h'(2) for the function h(x) = In(g(x))? O 4/3 O…

A:

Q: Look at the given graph of the function V(x) from question 1 above. 150- -140+ -10- -120 -110 -100-…

A: By observing the graph ;

Q: Suppose f and g are functions that are differentiable at x=5 and that f(5)=8 ,f'(5)=-3 ,g(5)=-1 ,…

A:

Q: 2. Consider the following function: y = f(x) = x" – 14x® (a) Determine in which regions this…

A: A function is increasing or decreasing that is determine by    f'(x)&gt;0 or f'(x)&lt;0 A function…

Q: 2. Refer to the function p(x) = x². (a) Suppose r(x) = p(x+3) – 2. Describe how p(x) is transformed…

A: As per our company guidelines, we can solve first question for you. If you want other questions to…

Q: 18) Match the graph with the correct function. (a) f(x) = -3 + In x (b) f(x) = 3 + In x (c) f(t) =…

A:

Q: (i) Discuss the continuity of the function f(x) = {x2 − 3x if x &lt; 2 2x + 4 if x ≥ 2on the open…

A:

Q: 1. Solve the following problem. What value of k makes the function continuous at x = 3? x2 + 2x - 3…

A:

Q: 1. Let X be the graph of f(x) = x²/3 given below that is, X is the subset of R x R satisfying the…

A: Sol

Q: 5. The coordinates of the hole for the function f (x) x²-4 are: x-2

A: Given function, f(x)=x2-4x-2

Q: Find the net change in the value of the function between the given inputs. g(t) = 1 - t2; from -2 to…

A: gt=1-t2 Now, g-2=1--22=-3 &amp; g5=1-52=-24

Q: 2. Consider the following function: y = f(x) = x" – 14° (a) Determine in which regions this function…

A:

Q: At which value of x is the function whose graph is shown below differentiable? 8 N 4 -2 0 2 4 6 -8…

A:

Q: onsider the function: h(x) = 5 for x ≤ -4  2x+ 6 for -4<x<2 5- x2 for x ≥ 2 (D) h(−1) (E) h(0)…

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: 21. Suppose f(x) = A and g(x) = v2*. Find the x-value for which the two functions are equal.

A:

Q: 1. Find the value of a that makes the following function differen- tiable for all x-values. Jax, if…

A: gx=ax,if x&lt;0x2-3x,if x≥0

Q: Consider the following. (²-) = -—-/²₁ (6) = 2 (a) Write the linear function of that has the given…

A:

Q: (i) Discuss the continuity of the function f(x)={x2−3x if x&lt;22x+4 if x≥2 on the open interval…

A: Part (i):   In the region x &lt; 2 the function is defined as x2 – 3x. This polynomial is continuous…

Q: For the function S-a² + 2x if x -1' evaluate the left and right limits.as x -→ -1.

A: Given f(x)=-x2+2x         if x≤-1-x2+2x+2    if x&gt;-1

Q: 7. The graph of f (x) and a table of values for g(x) and a'(x) is given. If h(x) = /f(x)· g(x) %D…

A: (3) Given that fx=-xx-1. To determine whether fx is increasing, decreasing or has a horizontal…

Q: #2. Determine the equation for piecewise function f(x) given its graph below. -9-8-7-6-5-4-3 f(x) 5…

A: Given data:-

Q: 13. To the right is the graph of y = f(x), which is the volume of a box with a top. The box is made…

A: NOTE: Refresh your page if you can't see any equations. . the given graph is

Q: . If x is large, which function grows faster, f1x2  2xorg1x2  x2?

A: To determine for the large values of x, which of the functions f(x)=2x and  g(x)=x2 grows faster.

Q: 1. Use the graph of y = f(x) given below to sketch the graphs in parts (a) to (d). 10 - 81 21 -10 -8…

A: AS per the guidelines, I am supposed to do the 1st question only. Kindly repost the other…

Q: Determine the maximum and minimum points of the given functions below. h(z)=4z3−3z2+9z+12

A:

Q: х2 — 4 3. Do you agree with the contention that the functions f(x) = x + 2 and g(x) х — 2 are the…

A: f(x)=x+2 gx=x2-4x-2=x-2x+2x-2=&gt;gx=x+2

Q: 11. Use the given graphs of f and g to evaluate (5f(x)+3g(x)) dx |x=4 5- y = f(x)/ -4- y = g(x).- 2-…

A:

Q: Based on the graphs of f(x) and g(x), what must the domain of (f. g)(x) be? 10 8 7 6 5 2 g(x) 1…

A:

Q: Compare the function rule f (x) = 3x + 2 and the graph of g (x). 10 -10 10 Which statements are…

A: First let's draw graph of f(x) on same axis and then compare it with g(x) graph.

Q: 1 Use the functions given by fx) 1 and g(x) = x' to find (fº g)¯- %3D X - 125

A:

Q: 1. Draw the graph of has all of the follov f(2) = 10, f(- The 3-intercept • f(x) > 0 when f(x) < 0…

A: To draw the graph of a given polynomial function.

Q: Find the rule of the function associated with the following table. 1 3 y 1 4 9 Oy = x² y=x 1 | Oy…

A: As observed feom the graph, we have squared each of the quantity.

Q: Supposes L(x) is the linearization for a function f(x) at a=5. This would best approximate which of…

A: We have to find which option is best approximate of the following

Q: 1/3 5) Find all points of inflection in the function g(x) = (x – 7) 3 on the interval [0, 10].

A:

Q: 3. Do you agree with the contention that the functions f(x) = x+2 and g(x) x-2 are the same in every…

A:

Q: 21. If f(x) = 2x - 1 an d gx) = 3x + 5, what is f(g(5))? 22. Graph the following equation. 4х - Зу -…

A:

Q: 10. Given a function f(x) and g(x)%3= = -x+ 1, how would the graph of y =, (x) compare to the graph…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 4. Sketch the graph of the function. a. f(x)=-(x-1)²+2(x-1)+6 x+1 ifxe(-0,1] if xe (1,3) if x e[3,5]…

A:

Q: 1. Find when the function is increasing and when it is decreasing. x2 – 9 f(x) = x2 – 16

A: