VIDEO 1
GRAPHS OF RATIONAL FUNCTION
The graphs of rational function can have discotinuities because the rational function has a polynomial in the denominator which mean zero dividing by something will never get the answers. It’s possible that some value will lead to divisio by zero. If so that the value is straight up off limits this far is rational function concern. For example if
F(x)= when x=1 the function value equals with zero is the denominator is bad choice. For this function choosing x=1 is bad idea. With zero in the denominator make this function break in function graph.
Still in the same function. If F(x)= and insert x=0 the function value equals -2 but insert x=1 the function value equals . We know that if the denominator is zero will break the function.That is can be show up in the graphs and the value is two diconnected pieces of x=1 that is called by discontinuity.
But how we can solve this problem?? This problem can be solved by simplifying the rational function and eliminate the same function. For example:
and simplify the nominator and we get , cancel the (x-3) and the function value is F(x)=x+2. Try to insert x=3 and the value is x=5. We can see zero over zero again.
So the conclusion is, if we get some rational function and the denominator is zero, try to simplify that rational function first and cancel the same function. And don’t forget to try more, more and more. With practice, the calculus or mathematic will not scared agains