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What math levels does Goblins cover?

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Does Goblins support English Language Learners?

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A2.18

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. Extend to polynomial, trigonometric (sine and cosine), logarithmic, reciprocal, radical, and general piecewise functions.

Example Problems

Divide the polynomials.

\frac{2x^3 - x^2 - 12}{x + 3}

Your answer should be either in the form

f(x)

or

f(x) + \frac{k}{x + 3}

where

f

is a polynomial and

k

is an integer.

Divide the polynomials.

\frac{4x^3 + x^2 - 16}{x + 4}

Your answer should be either in the form

f(x)

or

f(x) + \frac{k}{x + 4}

where

f

is a polynomial and

k

is an integer.

Divide the polynomials.

\frac{3x^3 + 10x^2 + 7x}{x + 1}

Your answer should be either in the form

f(x)

or

f(x) + \frac{k}{x + 1}

where

f

is a polynomial and

k

is an integer.

Khan Academy Resources

Intro to rational expressions Domain and range from graph Identifying values in the domain Function domain word problems Determine the domain of functions Examples finding the domain of functions Worked example: domain and range from graph Worked example: determining domain word problem (real numbers)Determining whether values are in domain of function Worked example: determining domain word problem (positive integers)Worked example: domain & range of piecewise linear functions What is the domain of a function?Worked example: determining domain word problem (all integers)Worked example: domain & range of step function

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