# Function notation (advanced)

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Examples

**Introduction to Function Notation**

If $f(x) = 5x^2-x+6$ find the following- ${f(\heartsuit)}$
- ${f(\theta)}$
- ${f(3)}$
- ${f(-1)}$
- ${f(3x)}$
- ${f(-x)}$
- ${f(3x-4)}$
- ${3f(x)}$
- ${f(x)-3}$

- ${f(\heartsuit)}$
**Express a Function as $f($$)$**

If ${f(x) = \sqrt{x},}$ write the following in terms of the function ${f.}$- ${\sqrt{x}+5}$
- ${\sqrt{x+5}}$
- ${\sqrt{2x-3}}$
- ${-8\sqrt{x}}$
- ${-8\sqrt{2x-3}}$
- $4\sqrt{x^{5}+9}-1$

**Find the Value of a Function from Its Graph**

Find the value of the following from the given graph

- ${f(3)}$
- ${f(0)}$
- ${f(-5)}$
- ${f(x)=5,x=?}$
- ${f(x)=-1,x=?}$
- ${f(x)=0,x=?}$