Intermediate value theorem help

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jordy

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[FONT=MathJax_Main]use the intermediate value theorem with a function [/FONT][FONT=MathJax_Math]f[/FONT][FONT=MathJax_Main]([/FONT][FONT=MathJax_Math]x[/FONT][FONT=MathJax_Main])[/FONT][FONT=MathJax_Main] =[/FONT][FONT=MathJax_Math] x[FONT=MathJax_Math]q [/FONT][/FONT][FONT=MathJax_Math]w[/FONT][FONT=MathJax_Math]h[/FONT][FONT=MathJax_Math]e[/FONT][FONT=MathJax_Math]r[/FONT][FONT=MathJax_Math]e[/FONT][FONT=MathJax_Math] q[/FONT][FONT=MathJax_Main]>[/FONT][FONT=MathJax_Main]0[/FONT][FONT=MathJax_Main] to show that for any number a there is a number [/FONT][FONT=MathJax_Math]b[/FONT][FONT=MathJax_Main] such that [/FONT][FONT=MathJax_Math]b[FONT=MathJax_Math]q[/FONT][/FONT][FONT=MathJax_Main]=[/FONT][FONT=MathJax_Math]a[/FONT][FONT=MathJax_Main].[/FONT]
 
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jordy said:
[FONT=MathJax_Main]use the intermediate value theorem with a function [/FONT][FONT=MathJax_Math]f[/FONT][FONT=MathJax_Main]([/FONT][FONT=MathJax_Math]x[/FONT][FONT=MathJax_Main])[/FONT][FONT=MathJax_Main] =[/FONT][FONT=MathJax_Math] x[FONT=MathJax_Math]q [/FONT][/FONT][FONT=MathJax_Math]w[/FONT][FONT=MathJax_Math]h[/FONT][FONT=MathJax_Math]e[/FONT][FONT=MathJax_Math]r[/FONT][FONT=MathJax_Math]e[/FONT][FONT=MathJax_Math] q[/FONT][FONT=MathJax_Main]>[/FONT][FONT=MathJax_Main]0[/FONT][FONT=MathJax_Main] to show that for any number a there is a number [/FONT][FONT=MathJax_Math]b[/FONT][FONT=MathJax_Main] such that [/FONT][FONT=MathJax_Math]b[FONT=MathJax_Math]q[/FONT][/FONT][FONT=MathJax_Main]=[/FONT][FONT=MathJax_Math]a[/FONT][FONT=MathJax_Main].[/FONT]
Click to expand...

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

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jordy said:
[FONT=MathJax_Main]use the intermediate value theorem with a function [/FONT][FONT=MathJax_Math]f[/FONT][FONT=MathJax_Main]([/FONT][FONT=MathJax_Math]x[/FONT][FONT=MathJax_Main])[/FONT][FONT=MathJax_Main] =[/FONT][FONT=MathJax_Math] x[FONT=MathJax_Math]q [/FONT][/FONT][FONT=MathJax_Math]w[/FONT][FONT=MathJax_Math]h[/FONT][FONT=MathJax_Math]e[/FONT][FONT=MathJax_Math]r[/FONT][FONT=MathJax_Math]e[/FONT][FONT=MathJax_Math] q[/FONT][FONT=MathJax_Main]>[/FONT][FONT=MathJax_Main]0[/FONT][FONT=MathJax_Main] to show that for any number a there is a number [/FONT][FONT=MathJax_Math]b[/FONT][FONT=MathJax_Main] such that [/FONT][FONT=MathJax_Math]b[FONT=MathJax_Math]q[/FONT][/FONT][FONT=MathJax_Main]=[/FONT][FONT=MathJax_Math]a[/FONT][FONT=MathJax_Main].[/FONT]
Click to expand...
What does the Intermediate Value Theorem say? How does this Theorem relate to the given function?

Please be complete. Thank you! ;)
 
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