1. The function g is given by g(x)=1-5 tan x What is the period of g? 2. The function m is given by m(x)=-3 tan (4x). What is the period of m? 3. The function j is given by j(x)=8-7 tan π (A) x=+лk, where k is an integer 2 π π (B) x=+k, where k is an integer 8 4 (C) x=2x+4лk, where k is an integer (D) x=4л+8лk, where k is an integer x Which of the following gives the vertical asymptotes of j? 4 4. Let f(x)=2+tan (x). On which of the following intervals is the graph of ƒ concave down? (A) (-1,-) (B) (0.7) π 0, (C) TC 3π (D) л, 2 5. The function k is given by k(x)=1+3 tan (2x). Which of the following statements about k is true? π π (A) The period of k is , and the graph of k has vertical asymptotes where x ==+лk, where k is an integer. 2 4 π (B) The period of k is 2 and the graph of k has vertical asymptotes where x ==+k, where k is an integer. 42 π π (C) The period of k is 2, and the graph of k has vertical asymptotes where x =π+2πk, where k is an integer. (D) The period of k is 2, and the graph of k has vertical asymptotes where x =лk, where k is an integer. Quiz A: Topic 3.8 The Tangent Function Created by Bryan Passwater 2 Graph of h 6. The graph of the function h is given in the xy-plane. Which of the following statements is correct? , the graph of h is increasing at an increasing rate. (A) For (B) For (C) For 苏|4 K|4 π π , the graph of h is increasing at a decreasing rate. 2 0 and b>1 (B) a>0 and 01 (D) a<0 and 0
1. The function g is given by g(x)=1-5 tan x What is the period of g? 2. The function m is given by m(x)=-3 tan (4x). What is the period of m? 3. The function j is given by j(x)=8-7 tan π (A) x=+лk, where k is an integer 2 π π (B) x=+k, where k is an integer 8 4 (C) x=2x+4лk, where k is an integer (D) x=4л+8лk, where k is an integer x Which of the following gives the vertical asymptotes of j? 4 4. Let f(x)=2+tan (x). On which of the following intervals is the graph of ƒ concave down? (A) (-1,-) (B) (0.7) π 0, (C) TC 3π (D) л, 2 5. The function k is given by k(x)=1+3 tan (2x). Which of the following statements about k is true? π π (A) The period of k is , and the graph of k has vertical asymptotes where x ==+лk, where k is an integer. 2 4 π (B) The period of k is 2 and the graph of k has vertical asymptotes where x ==+k, where k is an integer. 42 π π (C) The period of k is 2, and the graph of k has vertical asymptotes where x =π+2πk, where k is an integer. (D) The period of k is 2, and the graph of k has vertical asymptotes where x =лk, where k is an integer. Quiz A: Topic 3.8 The Tangent Function Created by Bryan Passwater 2 Graph of h 6. The graph of the function h is given in the xy-plane. Which of the following statements is correct? , the graph of h is increasing at an increasing rate. (A) For (B) For (C) For 苏|4 K|4 π π , the graph of h is increasing at a decreasing rate. 2 0 and b>1 (B) a>0 and 01 (D) a<0 and 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 37RE
Related questions
Question
Transcribed Image Text:1. The function g is given by g(x)=1-5 tan x
What is the period of g?
2. The function m is given by m(x)=-3 tan (4x). What is the period of m?
3. The function j is given by j(x)=8-7 tan
π
(A) x=+лk, where k is an integer
2
π π
(B) x=+k, where k is an integer
8 4
(C) x=2x+4лk, where k is an integer
(D) x=4л+8лk, where k is an integer
x
Which of the following gives the vertical asymptotes of j?
4
4. Let f(x)=2+tan (x). On which of the following intervals is the graph of ƒ concave down?
(A) (-1,-)
(B) (0.7)
π
0,
(C)
TC
3π
(D) л,
2
5. The function k is given by k(x)=1+3 tan (2x). Which of the following statements about k is true?
π
π
(A) The period of k is
, and the graph of k has vertical asymptotes where x ==+лk, where k is an integer.
2
4
π
(B) The period of k is
2
and the graph of k has vertical asymptotes where x ==+k, where k is an integer.
42
π π
(C) The period of k is 2, and the graph of k has vertical asymptotes where x =π+2πk, where k is an integer.
(D) The period of k is 2, and the graph of k has vertical asymptotes where x =лk, where k is an integer.
Quiz A: Topic 3.8
The Tangent Function
Created by Bryan Passwater
Transcribed Image Text:2
Graph of h
6. The graph of the function h is given in the xy-plane. Which of the following statements is correct?
, the graph of h is increasing at an increasing rate.
(A) For
(B) For
(C) For
苏|4 K|4
π
π
, the graph of h is increasing at a decreasing rate.
2
<x<
π
the graph of his decreasing at an increasing rate.
(D) For
<, the graph of h is decreasing at a decreasing rate.
3-
Graph of f
7. The graph of the function f is given in the xy-plane. If f(x)= a tan
tan (b(x-2)).
where a and b are constants,
which of the following is true?
(A) a>0 and b>1
(B) a>0 and 0<b<1
(C) a <0 and b>1
(D) a<0 and 0<b<1
Quiz A: Topic 3.8
The Tangent Function
Created by Bryan Passwater
-4
"
2m
!
Graph of h
8. The graph of the function h is given in the xy-plane. If h(x)= tan (bx)+d, where b and d are constants, what are
the values of b and d?
(A) b=
and d=-1
(B) b=
and d = 1
(C) b=2 and d=-1
(D) b=2 and d=1
2
Graph of k
9. The graph of the function k is given in the xy-plane. Which of the following could be the expression for k(x)?
(A) k (x)=tan
(B) k(x)=tan
(C) k(x)= tan(xx)
(D) k(x)=tan (2xx)
Quiz A: Topic 3.8
The Tangent Function
Created by Bryan Passwater
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