# Functions

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

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

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

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

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

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

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

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

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

Question 10
If $f(0)=1$ and also $f(1)=0$, then the function could be:

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