The graphs of y = f(x) (solid) and y = g(x) (dashed) are shown below. 10+ 6- 4- 10 -9 -8 -7 -6 -5 -4 -3,2 -1 8 9 10 -2 -4- -6- -8 -10+ f(x) is increasing for z E (Enter your answer in interval notation) f(x) is decreasing for z E (Enter your answer in interval notation) g(x) is increasing for æ E |(Enter your answer in interval notation) g(x) is decreasing for z € (Enter your answer in interval notation) The average rate of change of y = f(x) over the interval [0, 4] is The average rate of change of y = g(x) over the interval (0, 4] is

Q: (x-4)(x-3) Determine the points of discontinuity for the function f(x): = (x-3)(x+2) a. (3.- 1/3) 5…

A: To determine the points of discontinuity for the function f(x)=(x−3)(x+2)(x−4)(x−3)​ , we need to…

Q: x+4 x²-2x (a) Find the domain of F. 10. Let F(x) = = (b) F(-2) =

A:

Q: 8 Use the information above to graph the function f(x) = x³ + 3x² Y 7 6- 5

A: We need to draw graph of given function.

Q: Use the given graph of y = f(x) to graph the function g : g(x) = f(x - 2)

A:

Q: A bucket has a leak that started 6 hours ago. At time 0, when the bucket just emptied, a tap was…

A: Which option represents  the amount of water in the second bucket.

Q: Where does the graph of the function h (x) = x* + 3z² – 4 cross the x-axis? %3D O x= -1 and x = 1 O…

A:

Q: If y = f(x) in the figure, find the following. y 12 (9, 10) 10 8 (5, 6) 4 2 -6 -4 - 2 4 8 10 12 -4…

A: Let's find.

Q: If f(x) = 5x+ 6-X, what is the ordered pair for x = 0 ? O (0,-1) O (0,10) O (6,0) (0,6)

A: Given that  f(x)=5x+6-x^2  To find the order pair at x=0

Q: Let f(x) = x´ + 6x and g(x) = 5 – x. H() =D (Simplify your answer.)

A:

Q: Use the given graph of y = f(x) to graph the function g : g(x) = 1/2f(2x)

A: Using the given graph of y=f(x) : We are to graph the function g: gx=12f(2x)

Q: Find f(g()) and g(f(2)) for the pair of functions. f() =+1 g(2) 34x-17 flo(2)) = %3D 9(f(=)) = %3D

A: Given, f(x) = x + 1  g(x) = 4x - 17

Q: Find the X-values of all points of inflection for the function f(x) = – x* + 6x³. O A. X = - 3 only…

A:

Q: Let f(x) = 3x – 6 and g(x) = x² – 3æ + 7. Then (f o g)(x) = (g o f)(x) =

A:

Q: Assume the point (2,7) is on the graph of y=f(x). Determine the value of n in the following…

A: If a point (a, b)  is on the graph of then

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.