#1 The graph of f(x) = x2 is given. Graph the following functions on the same...
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...
2+1 4. For each of the functions f given below: A. f() B. f(x) = 422-1 C. f(x) = log2 (3 – x) (a) Find the inverse function - (b) Verify that S (7-'(x)) = f(f(x)) (c) Sketch a graph of y = f(x) and y=f(x) on the same set of coordinates.
Evaluate the following expressions, given functions f, g, and h: f(x) = 9 – x2 g(x) = –2x² + 5x +8 h(x) = 2x – 5 a. 4f(3) – 28(-2) = -10 b.f (!) – h(-3) =
Evaluate the following f(x)=x2-1 and g(x) = 3x +5. :a. f(-3) b. g(-2) c. f(0) d. g(5) 2. Find the x and y intercepts of the following functions: a) f(x) = x2 - 5x + 6 = 0b) h(x) = -2x + 20
Graph the given functions, f and g, in the same rectangular coordinate system. Describe how the graph of g is related to the graph of f.f(x) = 2x g(x) = 2x-5 Use the graphing tool to graph the functions
Given: f(x) = x3+ x2+4x find the following:a) Relative extrema b) Table of values c) x-intercepts (if any) d) y-intercept e) Domain f Range g) Interval(s) increasing h) Interval(s) decreasing i) Find All zero s ) Factor completely k) Graph
Objective: • Graph and describe sinusoidal functions 1. Let x € R and let O be the radian measure of an angle in standard position. (a) Choose a value for z. Then let 0 = x and graph 0. (b) For any value of x, is it possible to find 0 = x? Explain. (c) Choose a value for 0 and graph 0. Is there a real number x that is equivalent to 0? Explain. (d) For any value of...
Graph off 2. The figure above shows the graph of f', given by f'(x) = ln(x2+1) sin(x*) on the closed interval (0,3). The function f is twice differentiable with f(0) = 3. (a) Use the graph of f' to determine whether the graph of f concaves up or concaves down on the interval 0<x<1. Justify your answer. (6) On the closed interval (0,3), find the value of x at which f attains its absolute maximum Justify your answer. (c) Find...
Piecewise Functions Graph: f(x) = x +5 if x 21 if x< 1 Calculate: 11) f(1) = 12) f(-3) = 13) f(2)= Functions: 1) Find g(2)= 1963 2) Find x-intercepts 3) Find y intercept 4) Find Domain of g 5) Find Range of g 6) For what value of x is g(x) = 0? 7) For what value of x is g(x) = 2? 8) Interval where g is decreasing - 9) Relative Maximum Point
Find the derivative of the following functions: (x2-1) f(x) = (x2 +1) f(x) = (x3 + 2x)3(4x + 5)2