Functions

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Question 1
Let [tex]f(x)=-x^2+4x-3[/tex]. Which point lies on the function?

Question 2
Let [tex] f(x)= ax^2+2x-11 [/tex]. If (1, 0) lies on the graph of the function, what is the value of [tex]a[/tex]?

Question 3
Let [tex] f(x)=-ax^2 + 4bx -3 [/tex]. If the graph of the function intersects x axes at points 1 and -1, what are the values of [tex]a[/tex] and [tex]b[/tex]?

Question 4
Which point doesn't lie on the graph of the function [tex] f(x)=x^3-2x+1 [/tex]?

Question 5
Let [tex] f(x)=ax^2+bx+c[/tex]. If (0, 1) and (1, 1) and (-1, 3) lie on the graph of the function, what are the values of [tex]a[/tex] and [tex]b[/tex] and [tex]c[/tex]?

Question 6
Let [tex] f(x)=ax^4+bx+c-4 [/tex] crosses the origin of the coordinate system. What is the value of [tex]c[/tex]?

Question 7
Which point do the graphs of [tex]f(x)=x^2+1[/tex] and [tex]g(x)=x^2+x[/tex] intercept at?

Question 8
If the graph of the function [tex] f(x)=ax+b+3 [/tex] crosses the first and the third quarter of the coordinate system, then which one can not be a value for [tex]a[/tex]?

Question 9
If [tex] f(x)= ax+b [/tex] intersects the graph of the function [tex] g(x)=x^2-3 [/tex] at the points with x=0 and x=2 , then what are the values of [tex]a[/tex] and [tex]b[/tex]?

Question 10
If [tex] f(0)=1 [/tex] and also [tex] f(1)=0 [/tex], then the function could be:


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