2.05 Transformations of hyperbolas
Interactive practice questions
Consider the expression $\frac{2}{x}$2x for $x>0$x>0.
What happens to the value of the fraction as $x$x increases?
It gets smaller and smaller, and approaches $0$0.
It becomes equal to $2$2.
It gets larger and larger, and approaches $\infty$∞.
It stays constant.
What happens to the value of the fraction as $x$x approaches $0$0?
It gets larger and larger, and approaches $\infty$∞.
It gets smaller and smaller, and approaches $-\infty$−∞.
It gets smaller and smaller, and approaches $0$0.
It approaches $2$2.
Which graph demonstrates this behaviour for positive values of $x$x?
Which of the following is not a feature of the graph of $y=\frac{3}{x}$y=3x?
Consider the function $y=\frac{2}{x+4}$y=2x+4.
What is the equation of the graph that passes through the points in the table?