The function f where f(x)=x² -4, is defined for all real values of x (The domain can be any real number) (a) Find the values of f(-3),S(-2). S(-1), S(0), S(1), S(2). S(3). Hence complete the table -3 -2 -1 1 23 f(x) -3 (b) Plot the points (you can use graph paper) and draw the graph of f(x)=x²-4 (c) Use your graph to write down the range of y=f(x). (Remember you can input any value of x.) (d) Write down the solutions of the equation x² -4=0. That is the values of x for which ƒ(x) = 0 (e) Explain why f is a many-to-one function and not a one-to-one function.
The function f where f(x)=x² -4, is defined for all real values of x (The domain can be any real number) (a) Find the values of f(-3),S(-2). S(-1), S(0), S(1), S(2). S(3). Hence complete the table -3 -2 -1 1 23 f(x) -3 (b) Plot the points (you can use graph paper) and draw the graph of f(x)=x²-4 (c) Use your graph to write down the range of y=f(x). (Remember you can input any value of x.) (d) Write down the solutions of the equation x² -4=0. That is the values of x for which ƒ(x) = 0 (e) Explain why f is a many-to-one function and not a one-to-one function.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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
Transcribed Image Text:The function ƒwhere ƒ(x)=x² -4, is defined for all real values of x (The domain can be
any real number)
(a) Find the values of f(-3), ƒ(-2), ƒ(-1), ƒ(0), ƒ(1), f(2), ƒ(3). Hence complete the table
-3
-2
-1
1
2
3
f(x)
-3
(b) Plot the points (you can use graph paper) and draw the graph of f(x)=x² – 4
(c) Use your graph to write down the range of y= f(x). (Remember you can input any
value of x.)
(d) Write down the solutions of the equation x² – 4=0. That is the values of x for which
ƒ(x)=0
(e) Explain why ƒ is a many-to-one function and not a one-to-one function.
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