then it is a vertical asymptote of the equation. If it does appear in the numerator, then it is a hole in the equation. In the example equation, solving x – 2 = 0 makes x = 2, which is a hole in the graph because the factor (x – ...
The graph is concave down when the second derivative is negative and concave up when the second derivative is positive. Concave down on ( (-∞ ,-2)) since ( f(()' ()' )(x)) is negative Concave up on ( (-2,∞ )) since ( f(()' ()' )(x)) is positive结果...
While horizontal asymptote rules may be slightly different than those of vertical asymptotes, the process of finding horizontal asymptotes is just as simple as finding vertical ones. Begin by writing out your function. Horizontal asymptotes can be found in a wide variety of functions, but they will...
Now take a look at this second graph of the same rational function, but with the line y = −3x − 3 superimposed on it:As you can see, apart from the middle of the plot near the origin (that is, apart from when the graph is close to the vertical asymptote), the graph hugs ...
Question: Use the graph shown to find the following.(a) The domain and range of the function9-(b) The intercepts, if any(c) Horizontal asymptotes, if any6-(d) Vertical asymptotes, if any3-(e) Oblique asymptotes, if a...
it has a vertical asymptote. Once you've written out your function, find the value of x that makes the denominator equal to zero. As an example, if the function you're working with is y = 1/(x+2), you would solve the equation x+2 = 0, an equation which has the answer x = ...
So I know that this function's graph will have a horizontal asymptote which is the value of the division of the coefficients of the terms with the highest powers. Those coefficients are4and−3. Then my answer is: hor. asymp.:y=−43\small{ \boldsymbol{\color{purple}{y = -\dfrac{...
Answer to: Starting with the graph of y = e^x , find the equation of the graph that results from a. reflecting about the line y=4. b...
1.Find all vertical asymptote(s).x= ,x= ,and x= .2.Find all x-intercepts.Enter each intercept as a point.intercept 1:,intercept 2:.3.Find the y- intercept of the graph.Enter the intercept as a point.4.Find the horizontal asymptote....
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