.

.

. .

So, there are no oblique **asymptotes**.

The denominator of a rational function can't tell you about the horizontal **asymptote**, but it CAN tell you about possible vertical **asymptotes**.

"When the degree of the numerator of a rational function is less than the degree of the denominator, the x-axis, or y=0, is the horizontal asymptote. The function has a horizontal **asymptote** y = 2 as x approaches negative infinity. Step 1: **Find** lim ₓ→∞ f (x).

When you cancel, since "(x-a)/(x-a)" = 1 for all x, you don't change the **graph** at all, except that you need to note that x != a because /0 is undefined.

Use the **graph** shown to **find** the following (a) The domain and range of the function (b) The intercepts, if any (c) Horizontal **asymptotes**, if any (d) Vertical **asymptotes**, if any (e) Oblique **asymptotes**, if any (b) **Find** the x-intercepts, if there are any. The asymptotes of a function can be calculated** by investigating the behavior of the graph of the function. Mar 26, 2016 · class=" fc-falcon">To sketch the graph of the secant function, follow these steps: Sketch the graph of y = cos x from –4 π to 4 π, as shown in the following figure. **

**The graph approaches, it approaches the x axis from either above or below. **

**where n n is the largest exponent in the numerator and m m is the largest exponent in the. **

**Finding Horizontal Asymptotes Graphically. One approach to finding asymptotes is graphically, i. **

**Nov 16, 2022 · It only needs to approach it on one side in order for it to be a horizontal asymptote. A sketch of the cosine function. **

**e.**

**. **

**. **

**. . y = -(b/a)x. **

**An asymptote is a line that a graph approaches without touching. An asymptote of a curve is a line to which the curve converges. To find the horizontal asymptotes apply the limit x→∞ or x→ -∞. What are the steps for finding asymptotes of rational functions? Given a rational function (that is, a polynomial fraction) to graph, follow these steps: Set the denominator equal to zero, and solve. When we set them equal to zero. **

**i. **

**Step 2: Find lim ₓ→ -∞ f (x). . **

**In order to find the vertical asymptotes of a rational function, you need to have the function in factored form. **

**. **

**<span class=" fc-falcon">The tangent function has period π. **

**Nov 3, 2011 · fc-falcon">An asymptote is a line that the graph of a function approaches but never touches. **

**No Oblique Asymptotes. **