Lesson 3E Rational Thinking Solidify Understanding

Ready

Perform the indicated operation. Show your work.

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7.

Describe your procedure for adding two fractions.

a.

When the denominators are the same:

b.

When the denominators are different:

8.

Explain your procedure for multiplying two fractions.

Set

Complete the missing features of each rational function. Sketch the asymptotes on the graph and mark the location of the intercepts.

9.

Degree of numerator:

Degree of denominator:

Equation of horizontal asymptote:

Equation of vertical asymptote(s):

-intercept:

-intercept(s):

a coordinate plane with three curved lines; one in the top left, one in the top right, and one in between the two lower quadrants x–10–10–10–5–5–5555101010y–10–10–10–5–5–5555000

10.

Degree of numerator:

Degree of denominator:

Equation of horizontal asymptote:

Equation of vertical asymptote(s):

-intercept:

-intercept(s):

a coordinate plane with one curved line in the top left corner and one curved line in the bottom right corner x–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000

11.

Degree of numerator:

Degree of denominator:

Equation of horizontal asymptote:

Equation of vertical asymptote(s):

-intercept:

-intercept(s):

a coordinate plane with one curved line in the bottom left coordinate and another curved line in starting in the bottom left corner and exiting in the top right corner x–10–10–10–5–5–5555101010y–10–10–10–5–5–5555000

12.

Degree of numerator:

Degree of denominator:

Equation of horizontal asymptote:

Equation of vertical asymptote(s):

-intercept:

-intercept(s):

a coordinate plane with one curved line in the bottom left corner, one curved line in the top right corner, and one curved line starting in the top left corner and ending in the bottom right corner x–10–10–10–5–5–5555101010y–5–5–5555000

Go

Rewrite each fraction in an equivalent form. Then explain the mathematics that makes it possible to rewrite the fraction in its new form.

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