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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!!
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