1. a(r) = -2r-15 r-9 Factored Form: Domain: r-intercept (s): Vertical Asymptote(s): 4r3+7=2–2x 12+x-20 2. b(x) %3D Factored Form: Domain: r-intercept (s): Vertical Asymptote(s):
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Given
To get factored form, factor both numerator and denominator
Domain are the set of x values for which the function is defined. To find the domain of rational function, set the denominator =0 and solve for x
To find x intercept , we set a(x)=0 and solve for x
Use the factored form
To find vertical asymptote, simplify a(x) and then make the denominator =0
Solve for x
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