y 3. Draw a graph of y= f (x) that matches the following characteristics. Increasing on: –8

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 59E
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3. Draw a graph of y= f (x) that matches the following
characteristics.
Increasing on: -8 <x<-4 and -1<x<5
Decreasing on: -4 <x< -1
f(-8) =-5 and zeroes at x=-6, – 2, and 3
Absolute maximum of 7 and absolute minimum of –5
4. A continuous function has a domain of -7<x<10 and has selected values shown in the table below. The
function has exactly two zeroes and a relative maximum at (-4, 12) and a relative minimum at (5, – 6).
-1
-7
10
-4
5
f(x)
8
12
-2
-5
-6
4
(a) State the interval on which f (x) is decreasing.
(b) State the interval over which f(x)<0.
Transcribed Image Text:3. Draw a graph of y= f (x) that matches the following characteristics. Increasing on: -8 <x<-4 and -1<x<5 Decreasing on: -4 <x< -1 f(-8) =-5 and zeroes at x=-6, – 2, and 3 Absolute maximum of 7 and absolute minimum of –5 4. A continuous function has a domain of -7<x<10 and has selected values shown in the table below. The function has exactly two zeroes and a relative maximum at (-4, 12) and a relative minimum at (5, – 6). -1 -7 10 -4 5 f(x) 8 12 -2 -5 -6 4 (a) State the interval on which f (x) is decreasing. (b) State the interval over which f(x)<0.
2. For the function g(x)=9-(x+1)° do the following.
y
(a) Sketch the graph of g on the axes provided.
(b) State the zeroes of g.
(c) Over what interval is g(x) decreasing?
(d) Over what interval is g(x)20?
(e) State the range of g.
Transcribed Image Text:2. For the function g(x)=9-(x+1)° do the following. y (a) Sketch the graph of g on the axes provided. (b) State the zeroes of g. (c) Over what interval is g(x) decreasing? (d) Over what interval is g(x)20? (e) State the range of g.
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