Problem #1

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

Problem #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]?

Problem #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]?

Problem #4

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

Problem #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]?

Problem #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]?

Problem #7

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

Problem #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]?

Problem #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]?

Problem #10

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