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- NZ Year 9 Maths
- Introduction to Relations and Functions
Function notation
- Intro Lesson: a4:33
- Lesson: 114:57
- Lesson: 22:43
- Lesson: 31:23
- Lesson: 410:39
- Lesson: 50:56
- Lesson: 62:36
Function notation
Function notation is another way to express the y value of a function. Therefore, when graphing, we can always label the y-axis as f(x) too. It might look confusing, but let us show you how to deal with it.
Basic Concepts: Solving linear equations using multiplication and division, Solving two-step linear equations: ax+b=c, ax+b=c, Solving linear equations using distributive property: a(x+b)=c, Solving linear equations with variables on both sides
Lessons
- IntroductionIntroduction to function notationsa)Equations VS. Functions
- 1.If f(x)=5x2−x+6 find the followinga)f(♡)b)f(θ)c)f(3)d)f(−1)e)f(3x)f)f(−x)g)f(3x−4)h)3f(x)i)f(x)−3
- 2.If f(x) = 6 - 4x, find:a)f(3)b)f(-8)c)f(-2/5)
- 3.If f(r) = 2πr2h, find f(x+2)
- 4.If f(x)=x, write the following in terms of the function f.a)x+5b)x+5c)2x−3d)−8xe)−82x−3f)4x5+9−1
- 5.If f(x) = -3x + 7, solve for x if f(x) = -15
- 6.The temperature below the crust of the Earth is given by C(d) = 12d + 30, where C is in Celsius and d is in km.
i.) Find the temperature 15 km below the crust of the Earth.
ii.) What depth has a temperature of 186∘C?