16. 4. Determine the range of the function below. -0.5(x+4)² if x<-2 3x+1 -1x1 f(x) = { A. (-0, 4] B. (-∞, -2) U (-2,00) C. (-∞, 4) D. (0,0) if -21

Q: 2. Let f(x) = x² + x³ - 10x² + 10. Find each of the following. You will need your graphing…

A: Concept: Domain: The domain of the function is the set of the inputs or the argument value for which…

Q: 1.2 Find the domain and range for f(x) = √4 − 2x + 5

A: f(x)=4−2x+5

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

A:

Q: 3. Suppose that f and g are functions with the rules f(x) = 4x - 7 and g(z) = r. Find (f o g)(x) =…

A: The given function is fx=4x-7 and gx=x2

Q: 1. Refer to the given functions f, g, and h to evaluate the functions for the given values of x.…

A: a. As (f-g)(-1) = f(-1) - g(-1) So (f-g)(-1) = [(-1)2 - 3(-1) + 1] - 8 - (-1)                = 1 + 3…

Q: For what value of k will the function f be continuous on (-∞, ∞)? f(x) = = +2 9 x + 3 k if x # -3 if…

A:

Q: The function y=-2x²(x-1)(x - 2)² changes sign at a. x = 1 b. x = 0 c. x=-1 d. it doesn't change sign

A:

Q: Determine if the following are functions of x. (a) X y 8 12 16 20 (c) LO y = 5 ---Select--- 0 5 (b)…

A: Use definition of function

Q: 10+5R 1. Let f(x) = /2x³ – (R + 1) and k(n) = a. Show that (fof-)(x) = x .Answer the followings: b.…

A: In mathematics, an injective function is a function f that maps distinct elements to distinct…

Q: 5. The table shows different values for the function A(x) = 2x5 + 16x¹100x³-528x²-1890x. B(-1)=0…

A: In the given problem mentioned that the table shows different values for the function. So instead of…

Q: B. Determine the function which coincides with f(x) for all values with the exception x = 5. (x² -…

A:

Q: 11. Given f(x) = 2x² + 1 and g(x) = 3x – 5, find the following: a. f(g(2)) b. f(g(x)) c. g(f(x)) d.…

A: From the given data:

Q: 20. Find the slope for f(x) = |x – 2| + 3 from -x' + 5x - 3 X=-3 to x-2? A. -5/5 B. 5/8 C. -8/5 D.…

A: Given that f(x)=x-2+3 and,-x2+5x-3. The formula for slope is, m=f(x1)-f(x2)x1-x2

Q: e3-6-2, if x 3 = 3. 1. Determine if f is continuous or discontinuous at x = 2 and x =

A:

Q: 1.Make a table for n=1,2,3,…,10 to compare the functions f(n)=n^2, g(n)=2^n and h(n)=n! and graph…

A: Make table as needed:  n f(n) g(n) h(n) 1 1 2 1 2 4 4 2 3 9 8 6 4 16 16 24 5 25 32 120…

Q: 1. Let f(x)=x^2-4x+3 Calculate f(x+h). Show all work.2. Let f(x)=x^2-4x+3. Calculate f(-x). Show…

A: I see that there are four questions mentioned here and as there is no information regarding which…

Q: Examine the graph of the function f(x) 10x+3x-12r. %3D

A: Given f(x)=10x3+3x2-12x

Q: The function f and g are defined as follows. A. -3 or f(x)%= In(x+1), x>-1 8(x)=x² +2x , x>-1 B. -3…

A: Solved below

Q: Find the domains of the following functions. (-1)7–1 п5т n=1

A:

Q: III. Subtract the first function from the second function. 1. f(x) = 2x + 1 and g(x) = 3x - 4-X-5 2.…

A: Quetion III,Part 1,Given,            fx=2x+1 and gx=3x-4To find ; Substract the first function from…

Q: The one-to-one functions g and h are defined as follows. g={(-8, -4), (-3, 6), (1, 9), (2, 1)} h(x)…

A: Given, h(x)=3x+13 and h-1(x)=x-133