1. The piecewise linear function f(x) is shown to the right. Answer the following questions based on its graph. (a) Evaluate each of the following based on the graph: (1) S(4) = (i) F(-3) = (b) State the zeroes of f (x). (c) Over which of the following intervals is S(x) always | increasing? (1) –7

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
icon
Related questions
Question
1. The piecewise linear function f(x) is shown to the right.
Answer the following questions based on its graph.
(a) Evaluate each of the following based on the graph:
(6) F(4)=
(ii) f(-3) =
(b) State the zeroes of f(x).
(c) Over which of the following intervals is S(x) always
increasing?
(1) –7<x<-3
(3) –5 <x<5
(2) -3<x<5
(4) –5 <x<3
(d) State the coordinates of the relative maximum
and the relative minimum of this function.
(e) Over which of the following intervals is
S(x)<0?
Relative Maximum:
(1) -7<x<-3
(3) -5 <x< 2
(2) 25x57
(4) –5 <xs2
Relative Minimum:
(f) A second function g(x) is defined using the
(g) A third function h(x) is defined by the
rule g(x)=2f(x)+5. Evaluate g(0) using
formula h(x)=x' -3. What is the value of
this rule. What does this correspond to on the
graph of g?
g (h(2))? Show how you arrived at your
answer.
Transcribed Image Text:1. The piecewise linear function f(x) is shown to the right. Answer the following questions based on its graph. (a) Evaluate each of the following based on the graph: (6) F(4)= (ii) f(-3) = (b) State the zeroes of f(x). (c) Over which of the following intervals is S(x) always increasing? (1) –7<x<-3 (3) –5 <x<5 (2) -3<x<5 (4) –5 <x<3 (d) State the coordinates of the relative maximum and the relative minimum of this function. (e) Over which of the following intervals is S(x)<0? Relative Maximum: (1) -7<x<-3 (3) -5 <x< 2 (2) 25x57 (4) –5 <xs2 Relative Minimum: (f) A second function g(x) is defined using the (g) A third function h(x) is defined by the rule g(x)=2f(x)+5. Evaluate g(0) using formula h(x)=x' -3. What is the value of this rule. What does this correspond to on the graph of g? g (h(2))? Show how you arrived at your answer.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Fundamental Theorem
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell