Asked by jonna
                Which is true for the graph of x^2-9/x^2-4
the answer is vertical asymptotes at x = ±2 but i don't understand why.
            
        the answer is vertical asymptotes at x = ±2 but i don't understand why.
Answers
                    Answered by
            bobpursley
            
    look at the denominator.  What happens to a function which has a zero in the denominator?
    
                    Answered by
            jonna
            
    i don't understand what you mean
    
                    Answered by
            Steve
            
    consider y = 1/x
division by zero is not defined. The closer x gets to 0, the larger y gets. At x=0, y is undefined, infinitely large.
Same for this problem. What happens to y as x gets close to 2? x^2-4 gets close to 0, and you cannot divide by 0.
    
division by zero is not defined. The closer x gets to 0, the larger y gets. At x=0, y is undefined, infinitely large.
Same for this problem. What happens to y as x gets close to 2? x^2-4 gets close to 0, and you cannot divide by 0.
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