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Warm- Up #1 Monday, 2/1/2016 Reflect on your first semester in your math class and answer the following questions: Write three new things that you have learned from last semester. Write three things that you have done well from last semester Write three things that you want to improve/achieve/learn from my class this second semester.
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Warm-Up #2 Tuesday, 2/2 2y + 4 = 5x. What is the slope (m)? What is the y-intercept (b)? Solve for y in the equation 4x – 5y = y = 3x + 5, if y = 10, then solve for x.
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Homework Tuesday 2/2 Plug in Values worksheet
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Lesson 5.3 What is a Function?
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What is “rule” mean to you?
Come up with examples when a rule applies to certain situations Examples:
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Functions A function is a relation in which each element of the domain (x-values) is paired with exactly one element of the range (y-values). f(x) y x
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Function Notation Input Name of Function Output
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Different ways of writing
f(x) = 4x or y = 4x + 6 f(3) = 4(3) or y = 4(3) + 6
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Determine whether each relation is a function.
1. {(2, 3), (3, 0), (5, 2), (4, 3)} YES, every domain is different! f(x) 2 3 f(x) 3 f(x) 5 2 f(x) 4 3
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Determine whether the relation is a function.
2. {(4, 1), (5, 2), (5, 3), (6, 6), (1, 9)} f(x) 4 1 f(x) 5 2 NO, 5 is paired with 2 numbers! f(x) 5 3 f(x) 6 f(x) 1 9
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Is this relation a function? {(1,3), (2,4), (3,3)}
Yes No X Y 1 3 2 4 Answer Now
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Is this relation a function? {(2,3), (2,-4), (3,3)}
Yes No X Y 2 3 -4 Answer Now
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3(3)-2 3 7 -2 -8 3(-2)-2 Given f(x) = 3x - 2, find: 1) f(3) = 7
= -8 3(-2)-2 -2 -8
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Given h(z) = z2 - 4z + 9, find h(-3)
(-3)2-4(-3)+9 -3 30 h(-3) = 30
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Given g(x) = x2 – 2, find g(4) 2 6 14 18 Answer Now
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