The diagram shows the graph of the function y= g(x), where g(x)=9-(x+1)* for the domain -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The diagram shows the graph of the function y= g(x), where g(x)=9-(x+1)*
for the domain –1<x<3.
The function has a maximum value at P and meets the y axis at Q (x =0)
(i) Find the coordinates of P, Q and R.
(ii) State the range of g(x).
(iii) Explain why g(x) is a one-to-one function.
(iv) From the graph state the value of x for which g(x)=0
Transcribed Image Text:The diagram shows the graph of the function y= g(x), where g(x)=9-(x+1)* for the domain –1<x<3. The function has a maximum value at P and meets the y axis at Q (x =0) (i) Find the coordinates of P, Q and R. (ii) State the range of g(x). (iii) Explain why g(x) is a one-to-one function. (iv) From the graph state the value of x for which g(x)=0
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