Algebra 2: Rational Functions and Variations

Graphing and solving linear equations

Graphing and solving rational functions

Solving quadratic equations

Understanding polynomial functions

The slope of the line

The x-intercept

The y-intercept

The constant of variation

y = 1/x

y = x^2

y = 5x

y = 3x + 2

y becomes zero

y remains constant

y decreases

y increases

By checking if y = ax

By checking if y = x^2

By checking if y = a/x

By checking if y = x + a

Identify the constant of variation

Graph the equation

Write the equation y = a/x

Solve for x

24

18

12

10

z = a/x - y

z = a + xy

z = axy

z = a/x + y

It does not involve a constant

It is always linear

It combines direct and inverse variations

It involves only one variable

r = aj^2s^3√2

r = a√2/j^2s^3

r = aj^2s^3/√2

r = aj^2√2/s^3