A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Describe the vertical asymptotes and holes for the graph of y = x - 4/x2 + 3x + 2
Solution:
The given equation is:
y = (x - 4)/(x2 + 3x + 2)
y = (x - 4)/(x2 + 2x + x + 2)
y = (x - 4)/[x(x + 2) + 1.(x + 2)
y = (x - 4)/(x + 1)(x + 2)
When x = -1 and when x = -2 the function y → ∞
Hence the vertical asymptotes of the given function are:
x = -1
And
x = -2
Since there are no common factors in the expression y = (x - 4)/(x + 1)(x + 2) there are no holes for the graph of the given function y.
Describe the vertical asymptotes and holes for the graph of y = x - 4/x2 + 3x + 2
Summary:
The vertical asymptotes of the given function’s graph are x = -1 and x = -2.
Math worksheets and
visual curriculum
visual curriculum