15. For the graph of the function f, 4 (-4, 3) . (4, 3) (-2, 1) -5 (-1,0) (2, 1) (1, 0) (0, – 1) 5 x (a) Find the domain and the range of f. (b) Find the intercepts. (c) Is the graph of f symmetric with respect to the x-axis, the y-axis, or the origin? (d) Find f(2). (e) For what value(s) of x is f(x) = 3? (f) Solve f(x) < 0. (g) Graph y = f(x) + 2. (h) Graph y = f(-x). (i) Graph y = 2f(x). (j) Is feven, odd, or neither? (k) Find the interval(s) on which f is increasing.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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15. For the graph of the function f,
4
(-4, 3) .
(4, 3)
(-2, 1)
-5 (-1,0)
(2, 1)
(1, 0)
(0, – 1)
5 x
(a) Find the domain and the range of f.
(b) Find the intercepts.
(c) Is the graph of f symmetric with respect to the x-axis, the
y-axis, or the origin?
(d) Find f(2).
(e) For what value(s) of x is f(x) = 3?
(f) Solve f(x) < 0.
(g) Graph y = f(x) + 2.
(h) Graph y = f(-x).
(i) Graph y = 2f(x).
(j) Is feven, odd, or neither?
(k) Find the interval(s) on which f is increasing.
Transcribed Image Text:15. For the graph of the function f, 4 (-4, 3) . (4, 3) (-2, 1) -5 (-1,0) (2, 1) (1, 0) (0, – 1) 5 x (a) Find the domain and the range of f. (b) Find the intercepts. (c) Is the graph of f symmetric with respect to the x-axis, the y-axis, or the origin? (d) Find f(2). (e) For what value(s) of x is f(x) = 3? (f) Solve f(x) < 0. (g) Graph y = f(x) + 2. (h) Graph y = f(-x). (i) Graph y = 2f(x). (j) Is feven, odd, or neither? (k) Find the interval(s) on which f is increasing.
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