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Related concepts: Transformations of functions: Horizontal translations, Transformations of functions: Vertical translations, Transformations of functions: Horizontal stretches, Transformations of functions: Vertical stretches,

- 1.
**Introduction to Function Notation**

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)${f(x)-3}$ - 2.
**Express a Function as $f($$)$**

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)$4\sqrt{x^{5}+9}-1$ - 3.
**Find the Value of a Function from Its Graph**

Find the value of the following from the given graph

a)${f(3)}$b)${f(0)}$c)${f(-5)}$d)${f(x)=5,x=?}$e)${f(x)=-1,x=?}$f)${f(x)=0,x=?}$

17.

Operations of Functions

17.1

Function notation

17.2

Operations with functions

17.3

Adding functions

17.4

Subtracting functions

17.5

Multiplying functions

17.6

Dividing functions

17.7

Composite functions

17.8

Inequalities of combined functions

17.9

Inverse functions

17.10

One to one functions

17.11

Difference quotient: applications of functions

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