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Piecewise Functions Graph: f(x) = x +5 if x 21 if x< 1 Calculate: 11) f(1)...
Graph the piecewise function. (Apts) -8²+2 13. h(x) ix-21 If 1<x<3 -6 if x 25 b. Where is h(x) increasing? (Ipt each) c. Where is h(x) decreasing? d. Is there an x-intercept, if so where? e. Is there a y-intercept, if so where?
2. Graph EACH piecewise function. (3.5pts) A(x) = -2 135x<7 -10 if x 11 b. What is h(x) = 0 (Ipt) c. What is the range? (Ipt) d. What is the domain? (1 pt) e. Is there a local max, or min, and where? (Ipt) f. Where is the function increasing (1 pt) & Where is the function decreasing (Ipt) h. What is (0) (1 pt)
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
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...
how do you these questions? i need help please Absolute Value Functions Name: 1. Sketch the graph of the function. State the intercepts, and the domain and range. f(x) = 12x +11 2. Write the following as a piecewise function a. y = 15x +11 b. y = 1-2(x+3)(x - 1)
Sketch a graph of the piecewise defined function. sz if x <3 f(x) = x 1 if x 2 3
5. For each of the rational functions below: 2.0 + 1 x² +1 (a) f(x) = (b) g(x) = . 2 2 find (c) h(x) = 3.2 x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all z-intercept(s) (if any); (v) all y-intercept(s) (if any). Write your answers in the following table: polynomial domain Vertical Asymptote Horizontal Asymptote x-intercept...
-105 5 10 he graph of a piecewise function. f(x), is depicted above. Find its equation: f(x) = 3 < x <= for x >
Name: 1. For the function f(x) = x2 – 1 find and simplify: a. f(-2) b. f(-x) c. -f(x) d. f(x - 2) 2. Find the domain of each function below. Write your answer in interval notation. a. f(x) = x + 2 x2 + x - 6 b. 8(x) = (2x - 1 1 f(x + h) - f(x) 3. For the function f(x) = 2x2 – 3, find the difference quotient h 4. Use the graph of the...
Evaluate piecewise-defined functions Question Given the following piecewise function, evaluate /(-4). - 4x + 3 f(x) = x < 0 Osr<3 3S 2? + 2 Do not include "f(-4) =" in your answer. Provide your answer below: