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Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

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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: $ax + b = c$, ${x \over a} + b = c$, Solving linear equations using distributive property: $a(x + b) = c$, Solving linear equations with variables on both sides,

- 1.Introduction to function notations
- 2.If $f(x) = 5x^2-x+6$ find the followinga)${f(\heartsuit)}$b)${f(\theta)}$c)${f(3)}$d)${f(-1)}$e)${f(3x)}$f)${f(-x)}$g)${f(3x-4)}$h)${3f(x)}$i)${f(x)-3}$
- 3.If f(x) = 6 - 4x, find:a)f(3)b)f(-8)c)f(-2/5)
- 4.If f(r) = $2\pi r^2h$, find f(x+2)
- 5.If ${f(x) = \sqrt{x},}$ write the following in terms of the function ${f.}$a)${\sqrt{x}+5}$b)${\sqrt{x+5}}$c)${\sqrt{2x-3}}$d)${-8\sqrt{x}}$e)${-8\sqrt{2x-3}}$f)$4\sqrt{x^{5}+9}-1$
- 6.If f(x) = -3x + 7, solve for x if f(x) = -15
- 7.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 $186^\circ$C?

1.

Functions

1.1

Function notation

1.2

Identifying functions

1.3

Adding functions

1.4

Subtracting functions

1.5

Multiplying functions

1.6

Dividing functions

1.7

Composite functions

1.8

Reflection across the y-axis: $y = f(-x)$

1.9

Reflection across the x-axis: $y = -f(x)$

1.10

Transformations of functions: Horizontal translations

1.11

Transformations of functions: Vertical translations

1.12

Transformations of functions: Horizontal stretches

1.13

Transformations of functions: Vertical stretches

1.14

Introduction to linear equations

1.15

Even and odd functions

1.16

One to one functions

1.17

Difference quotient: applications of functions

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