The relationship between the Fahrenheit (F) and Celsius (C) temperature scales is given by the linear function F-C + 32. (a) Sketch a graph of this function. 100 200 200 100 100 100 - 100 -50 50 100 150 -100 -50 50 150 100 - 100- -100 -100 -50 50 100 150 -100 -50 50 100 150 -200 -100 -100 -200 (b) What is the slope of the graph? What does it represent? The slope means that Fincreases ) degrees for each increase of 1°C. What is the F-intercept? What does it represent? The F-intercept of is the Fahrenheit temperature corresponding to a Celsius temperature of 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 33E
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The relationship between the Fahrenheit (F) and Celsius (C) temperature scales is given by the linear function F =
C+ 32.
5
(a) Sketch a graph of this function.
F
F
100아
200아
200
100
100
100
- 100
-50
50
100
150
-100
-50
50
100
150
-100
-100-
- 100
-50
50
100
150
- 100
-50
50
100
150
- 200
- 100
- 100
-200
(b) What is the slope of the graph?
What does it represent?
The slope means that Fincreases
degrees for each increase of 1°C.
What is the F-intercept?
What does it represent?
The F-intercept of
is the Fahrenheit temperature corresponding to a Celsius temperature of 0.
Transcribed Image Text:The relationship between the Fahrenheit (F) and Celsius (C) temperature scales is given by the linear function F = C+ 32. 5 (a) Sketch a graph of this function. F F 100아 200아 200 100 100 100 - 100 -50 50 100 150 -100 -50 50 100 150 -100 -100- - 100 -50 50 100 150 - 100 -50 50 100 150 - 200 - 100 - 100 -200 (b) What is the slope of the graph? What does it represent? The slope means that Fincreases degrees for each increase of 1°C. What is the F-intercept? What does it represent? The F-intercept of is the Fahrenheit temperature corresponding to a Celsius temperature of 0.
Tutorial Exercise
Find an expression for a cubic function f if f(4) = 200 and f(-6) = f(0) = f(5) = 0.
Step 1
A cubic function generally has the form f(x) = ax + bx? + cx + d. If we know that for some x-value x = p we
have f(p) = 0, then it must be true that x – p is a factor of f(x). Since we are told that f(5) = 0, we know that
is a factor.
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Transcribed Image Text:Tutorial Exercise Find an expression for a cubic function f if f(4) = 200 and f(-6) = f(0) = f(5) = 0. Step 1 A cubic function generally has the form f(x) = ax + bx? + cx + d. If we know that for some x-value x = p we have f(p) = 0, then it must be true that x – p is a factor of f(x). Since we are told that f(5) = 0, we know that is a factor. Submit Skip (you cannot come back)
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