# 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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