Lessons 1–4 Self Assessment 1

For each statement, rate your understanding according to the continuum, and then provide evidence for your rating.

	I understand and can do it accurately.	I understand most of the time, but I’m still working on it.	I don’t understand this yet.
I can describe the features of the function $f (x) = \frac{1}{x}$ , including horizontal and vertical asymptotes, domain, range, and intervals of increase and decrease.
Evidence Rating
I can graph functions in the form: $f (x) = b + \frac{a}{x - h}$ .
Evidence Rating
I can explain why horizontal and vertical asymptotes occur in $f (x) = \frac{1}{x}$ .
Evidence Rating
I can determine if a function is rational.
Evidence Rating
I can compare the degrees of the numerator and of the denominator to determine if a rational function has a horizontal or slant asymptote and to write the equation of the asymptote.
Evidence Rating
I can find the intercepts of a rational function, if they exist.
Evidence Rating
I can determine the location and write the equation(s) of the vertical asymptote(s) of a rational function.
Evidence Rating

Next steps

My plan for mastering this content is…

For each statement, rate your understanding according to the continuum, and then provide evidence for your rating.

	I understand and can do it accurately.	I understand most of the time, but I’m still working on it.	I don’t understand this yet.
Write an equivalent rational expression by dividing out the common factors.
Evidence Rating
Write an equivalent rational expression as a quotient with a fractional term when the degree of the numerator of the rational expression is greater than the degree of the denominator.
Evidence Rating
I can add and subtract rational expressions.
Evidence Rating
I can multiply and divide rational expressions.
Evidence Rating
I can determine the behavior of a rational function near the asymptotes and use this behavior to graph the function.
Evidence Rating
I can model a situation using a rational function.
Evidence Rating
I can solve a rational equation.
Evidence Rating
I can use correct units and interpret a solution to a rational equation, when given a context.
Evidence Rating
I can determine if a solution to a rational equation is extraneous.
Evidence Rating

My plan for mastering this content is…