



Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community for help and clear up your study doubts
Discover the best universities in your country according to Docsity users
Free resources
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
Material Type: Exam; Class: Precalculus I; Subject: Mathematics; University: Community College of Philadelphia; Term: Unknown 1989;
Typology: Exams
1 / 6
This page cannot be seen from the preview
Don't miss anything!
Math 161 Review for Exam 3 In all graphs shown assume that if a curve or pattern goes to the edge of the displayed coordinate system that the curve or pattern continues indefinitely in that direction.
Math 161 Review for Exam 3 page two
intervals where the function is (h) increasing (i) decreasing (j) constant (k) positive
2
4 2 2 2 x^2 if x x if x n x.
For each function: (e) Sketch the graph. (f) Find the domain and range. (g) Find the zeros, x-intercepts and y-intercepts. (h) Find the relative extremes. (i) Find the intervals where the function is increasing, decreasing, constant, and positive. (j) Describe the function in terms of shifts, reflections, stretching, or shrinking of the
Math 161 Review 3 Answers page two
1 1 1 1 1 1 if x if x x x hj x. domain {x: x 1}
2 3 8 12 2 2 6 2 3 2 2 x x x if x x x if x kn x , domain
2 1 x x i j x , domain {x: x 1 and x 2}
2 1 1 x x i j x , domain {x: x ½ and x 1}
o x x^2
(f) f(x) domain , range integers g(x) domain {x: x 2}, range {y: y 0} h(x) domain , range {y: y 0} i(x) domain {x: x 2}, range {y: y 0} j(x) domain {x: x 1}, range {y: y 0} k(x) domain , range l(x) domain , range {y: y 4} m(x) domain , range n(x) domain , range (g) f(x) zeros {x: 2 x <1}, x-intercepts {(x,0): 2 x <1}, y-intercept (0, 2). g(x) zero 2, x-intercept (2, 0), no y-intercept. h(x) zero 1, x-intercept (1, 0), y-intercept (0, 1). i(x) no zero,no x-intercept,y-intercept(0, ½). j(x) no zero,no x-intercept, y-intercept (0, 1).
l(x) zeros 1, 5, x-intercepts (1, 0), (5, 0), y-intercept (0, 5). m(x) zeros 1, x-intercept (1, 0), y-intercept (0, 1). n(x) zeros 2, 2, x-intercepts (2, 0), (2, 0), y-intercept (0,4). Math 161 Review 3 Answers page three (e) f(x) g(x) h(x)
i(x) j(x) k(x) l(x) m(x) n(x) (h) f(x) every number is both a relative minimum and a relative maximum except the integers. i(x), j(x), k(x), m(x) no relative extremes. g(x) relative minimum 0 when x = 2, no relative maximum. h(x) relative minimum 0 when x = 1, no relative maximum. l(x) relative minimum 4 when x = 3, no relative maximum. n(x) relative minimum 0 when x = 2, relative maximum 4 when x = 0.