standard_description: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
problem_activity: Problem 1
Below is the graph and equation of the function
$$f$$
.
$$f(x)=(x-2)(x-5)\over(x-2)(x+1)$$
[IMG]
And below is the graph and equation of the function
$$g$$
.
$$g(x)={(x-5)\over(x+1)}$$
[IMG]
How are the functions
$$f$$
and
$$g$$
similar Different?
Problem 2
How are the functions
$${g(x)}$$
and
$${h(x)}$$
different? Similar?
$${g(x)}={x^2\over{x-2}}$$
$${h(x)}={x^2-4\over{(x-2)(x+3)}}$$


aligns: no