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Use the zeros, vertical and horizontal asymptotes along with the sign of the function to sketch its graph.(a) $f(x)=\frac{x^{3}\left(x^{2}-9\right)^{4}(x-1)^{2}}{(x-4)^{2}\left(x^{2}-25\right)^{3}(x+7)^{5}}$ (b) How many times does the graph cross its horizontal asymptote?

Algebra

Chapter 1

Functions and their Applications

Section 7

More on Functions

Functions

Oregon State University

McMaster University

Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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03:34

a. Identify the horizontal…

05:48

(a) Determine the $x$ -int…

00:52

Sketch the graph of $f(x)=…

01:21

04:16

02:30

05:54

The horizontal asymptotes …

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