Question 15 1 pt 1 Details -3.2 - 7 Given the function f(x) = - 2x2...
f(x) = 2x2 – 3, if x < 2 x2, if 2<x< 4 5x – 7, if x > 4 a) f(0) b) f(3)
Question 15 Given that f(x)2x + 3, and g(x)=2x2 – 1. Determine (gof)(x), expand, and simplify. Question 18 f(x) = log x is reflected over the x-axis, translated to the left 2 units, then stretched away from the X-axis by a factor of 3. What does it become? TTT Ariat 3 (12pt)
please help! Question 8 < B0/1 pt 53 99 0 Details Let f(x) = 3x + 3 and g(x) = 4x2 + 2x. After simplifying, (fog)(x) Question Help: D Video Submit Question Question 12 < > 50/1 pt 53 99 0 Details In 1994, the moose population in a park was measured to be 4270. By 1999, the population was measured again to be 4620. If the population continues to change linearly: A.) Find a formula for the moose population,...
cewise Functions e function, evaluate lim f(x). 2 1-2x²+x+3 f(x) = { 2x2 – 3x + 3 (-3x - 2 if if xs1 1<x< 6 if x26 below:
This Question: 1 pt 24 of 32 (10 comple For the function, f(x) = x² + 2x + 4, complete parts a through o. a) f(x+h) - (Simplify your answer.) b) f(x+h)-f(x) = (Simplify your answer.) c) f(x+h)-f(x) h (Simplify your answer.)
(2x - 1 if x < -1 2. Suppose f(x) = 2x2 - 4 if-1<x52 (log: (x - 1) if x > 2 a) Is f continuous at x = -1? Justify your answer completely. b) Is f continuous at x = 22 Justify your answer completely. 3. Suppose f(x) = x2 + 3x a) Using the definition of derivative, find f'(x). No credit will be given if shortcuts are used. b) Find the equation of the tangent line to...
This Question: 1 pt 19 of 32 7 complete) Cha Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. f(x) = 4x* + 5x3 - 11x2 + 15; k= - 1 4x4 + 5x3 - 11x2 +15=
x? - 2x+1 7. (15) Given the function f(x) (x-1)2 calculate all possible intercepts, X asymptotes, and relative max and min points. Draw a sketch of the graph.
#35,37 In Exercises 21 through 38, differentiate the given function and simplify your answer 21. f(x) (2x 3)14 22. fx) 23. f(x) = (2x + 1)4 24. f(x) = V 5x6-12 25. fx)-(a 4r3 78 26. ft) (3r 729)5 27, f(t) = V5 3x 28. f(x)=- (6x2 +5x+ 1)2 5rt_ V4x2 30. 4x +1 31. f(x)=: (1-x2)4 2 3(5x4 1)2 32. f(x) = (1-x2)4 (135) f(x) = (x + 2)3(2x-1)5 36. f(x) 2(3x 1)(5x 3)2 (1 -x 1 - 5x2...
1. Consider the function y f(x) defined by Supposing that you are given x, write an R expression for y using if state- ments Add your expression for y to the following program, then run it to plot the function f. # input x,values <-seq(-2, 2, by 0.1) # for each x calculate y n <- length(x.values) y.values <- rep(0, n) for (i in 1 :n) x <- x. values[i] # your expression for y goes here y.values ij <-...