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Function notation
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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?
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8.
Linear Functions
8.1
Relationship between two variables
8.2
Understand relations between x- and y-intercepts
8.3
Domain and range of a function
8.4
Identifying functions
8.5
Function notation
8.6
Distance formula: d=(x2−x1)2+(y2−y1)2
8.7
Midpoint formula: M=(2x1+x2,2y1+y2)
8.8
Slope equation: m=x2−x1y2−y1
8.9
Slope intercept form: y = mx + b
8.10
General form: Ax + By + C = 0
8.11
Point-slope form: y−y1=m(x−x1)
8.12
Rate of change
8.13
Graphing linear functions using table of values
8.14
Graphing linear functions using x- and y-intercepts
8.15
Graphing from slope-intercept form y=mx+b
8.16
Graphing linear functions using a single point and slope
8.17
Word problems of graphing linear functions
8.18
Parallel and perpendicular lines in linear functions
8.19
Applications of linear relations
Don't just watch, practice makes perfect
Practice topics for Linear Functions
8.1
Relationship between two variables
8.2
Understand relations between x- and y-intercepts
8.3
Domain and range of a function
8.4
Identifying functions
8.5
Function notation
8.6
Distance formula: d=(x2−x1)2+(y2−y1)2
8.7
Midpoint formula: M=(2x1+x2,2y1+y2)
8.8
Slope equation: m=x2−x1y2−y1
8.9
Slope intercept form: y = mx + b
8.10
General form: Ax + By + C = 0
8.11
Point-slope form: y−y1=m(x−x1)
8.12
Rate of change
8.17
Word problems of graphing linear functions
8.18
Parallel and perpendicular lines in linear functions
8.19
Applications of linear relations