
find the y intercept, HA and the draw the shape
4) y=et - 2 5) y = 2e-* +1 6) y=-3.24 +1 7) y=-2* - 4 8) y=-e-* +3
Tell whether the function is an example of exponential growth or exponential decay. 15. f(x) = et 16. f(x) = e-* 17. f(x) = 3e* 18. f(x) = 2x 19. /(x) = 2e-2x 20. f(x) = -1/2 Match the function with its graph. 21. f(x) = (2x 22. f(x) = (2x - 2 A. 23. f(x) = (2x - 2 C. B. y y Graph the function. 24. f(x) = 2e 25. f(x) = fer-2 26. f(x) = -(2x +...
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:
Prob.II. Differentiate the following functions, and simplify. 1. f(x) 2x-3 x+4 2. f(x) = x²(x - 2)* 3. f(x) = In (x V1 - x2) 4. f(x) = x2e-* 5. Find dy/dx = y' for the equation x2 + y2 = 25 and find y" (check H.W)
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
1. Find the slope for each of the functions below: (a) y = f(x) = 52 (b) y = f(x) = 1 3 x 3 + x 2 + 4x − 10 (c) y = f(x) = 1 3 x 3 + x 2 + 4x + 400 (d) y = f(x) = x 1 2 (e) = f(x) = 4x 1 2 + x 2 − .1x 3 − 5 (f) = f(x) = 4x + 6 (g) y...
For X and Y with the initial joint density of f(x, y) = 3/2(2 − 2x − y), 0 < x < 1 and 0 < y < 2 − 2x, find P(Y < 1|X = 1/2 ).
3. Given f(x,y)= sin?(2x+3y?).e***; (a) Find f (x,y). (b) Find f (x,y).
Written HW #1 Function Family: Exponential Parent Function: y = a*, with a > 0 and a 1 (Graph of specific example: y = 2* ) Shape: Domain of y =2*: Range of y2: Table of values for y 2: y=2x 1 -2 4 1 -1 2 1 2 1 2 4 Examples of Exponential Functions 3. y 3*+ 2 2. y e 1. y 3 -y2
The following table represents values for an exponential function f where y= f(x) 2 y = f(2) 100 -1 0 1 2 120 144 172.8 207.36 227.15 272.58 3 4.5 5.5 Preview Use the table to complete the following. f(1) a. The value of the ratio is f(0) f(3) b. The value of the ratio is f(2) Preview c. The value of the ratio f(5.5) f(4.5) 1S Preview d. The 1-unit growth factor for this exponential function is Preview e....