Pg. 136/140 Homework

• Study!!• Not required, but the inverse wkst is good practice!

• #18 Not 1 – 1, fails HLT• #20 Yes 1 – 1, passes VLT and HLT• #22 Yes 1 – 1, passes VLT and HLT • #24 Yes• #26 You graph it!!• #28• #33 f -1(x) = (2x + 3)/(x – 1)• #34 f -1(x) = (-x – 3)/(x – 2)

1f x x

2.4 Solving Linear InequalitiesSolving Linear Inequalities Algebraically

• Solve algebraically:

2

5 3 20

1

x x

x

2 4 5 9x x x

2 2 3 14x

2.5 Solving Higher-order Inequalities Algebraically and Graphically

Solve algebraically.3 22 4 4 13 11 3x x x x 23 5 2x x

2.6 Relations and Parametric Equations

Circles• Write the following

equation of a circle in standard form and state the center and radius.

Symmetry• Determine the type of

symmetry, if any, of the equations below.

2 22 2 6 8 3x y x y 3 3 4xy x y x

3 5f x x x

2.7 Inverse Functions

Inverse Functions• Show that f(x) =

will have an inverse function. – Find the inverse function and

state its domain and range. – Prove that the two are

actually inverses.

• Show that g(x) = will have an inverse function. – Find the inverse function and

state its domain and range. – Prove that the two are

actually inverses.

• Will h(x) = x3 – 2xwill have an inverse function?

2 1x 2

1x

2.4 – 2.7 Test Review

• Don’t forget– Word Problems!!– To flip inequalities when dividing by a negative– That if a zero is in the denominator of a sign

pattern it is undefined (which means a parentheses must be used!)

– To check both ways when algebraically proving an inverse

– You will be deriving the quadratic formula!!