Holes in Rational Functions A hole in a rational function is a removable discontinuity that breaks continuity for that function. Finding a hole within a rational function helps identify specific x-values that are to be excluded in intervals when using certain theorems (i.e. Mean Value Theorem, ...
Introduction to Rational Functions Rational functionsare fractions involving polynomials. A rational functionf(x) has the general form shown below, wherep(x) andq(x) are polynomials of any degree (with the caveat thatq(x) ≠ 0, since that would result in an #ff0000 function). Note ...
Learn what a difference quotient is. Learn how to identify the difference quotient. Find the difference quotient for example equations using the...
Example Problem 1 - Graphing Rational Functions with Holes Graph the equation {eq}\frac{x^{2}-x-6}{x-3} {/eq}, including any holes. Step 1: Factor the equation. The numerator can be factored into (x + 2)(x - 3). The denominator cannot be factored. Step 2: Identify common ...
Example problem 1:Identify the functions in the equation f(g(x)) = -(x – 3)2+ 5 Step 1:Identify the original function(s).The original function might be:linear,polynomial,square (quadratic),absolute value,square root,rational,sineorcosine. In this example, the original function is the sq...
Graphs of Other Trigonometric Functions Essential Questions How do we recognize and graph trigonometric functions? Holt McDougal Algebra 2 Holt Algebra 2 The tangent and cotangent functions can be graphed on the coordinate plane. The tangent function is undefined when θ = + n, where n is an...
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It is important to combine steps three and four so it is possible to identify a problem to solve by looking at various industries as an outsider. This often provides an aspiring entrepreneur with the ability to see a problem others might not. ...