Jump to a specific example Instructors Kathryn Boddie View bio Marisa Bjorland View bio Steps for Finding Intercepts, Asymptotes, Domain, and Range From the Graph of a Rational Function Step 1:Find all intercepts. The {eq}x {/eq}-intercept(s) are points {eq}...
A rational equation contains a fraction with a polynomial in both the numerator and denominator — for example; the equation y = (x – 2) / (x^2 – x – 2). When graphing rational equations, two important features are the asymptotes and the holes of the graph. Use algebraic techniques ...
this is not always the case: other functions break off at a point of discontinuity, or turn off and never make it past a certain point on the graph. Vertical and horizontal asymptotes are straight lines that define the value that a given function approaches if it does...
this is not always the case: other functions break off at a point of discontinuity, or turn off and never make it past a certain point on the graph. Vertical and horizontal asymptotes are straight lines that define the value that a given function approaches if it does...
How many asymptotes does y = 3tan(x/4) have on the closed interval from -3pi to 3pi? Find the horizontal and vertical asymptotes of the graph of the function: g(x) = 4x^3 + x^2 + 10. Find the horizontal and vertical asymptotes of the graph of the function....
For graphing functions, we need to take care of domain, range, asymptotes, and holes. Also, we need to know at least two to three points on each part of the curve for graphing the function.
Rational equations can have what are called discontinuities. Nonremovable discontinuities are vertical asymptotes, invisible lines that the graph approaches but does not touch. Other discontinuities are called holes. Finding and graphing a hole often inv
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In this article we will cover Construction of a Function Graph, Steps to graph a function, Steps to graph a function. Graphing functions is the process of drawing a curve that represents a function on a coordinate plane. If a function is represented by a
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