# Function notation

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##### Intros

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##### Examples

###### Lessons

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

- If f(x) = 6 - 4x, find:
- f(3)
- f(-8)
- f(-2/5)

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

- If f(x) = -3x + 7, solve for x if f(x) = -15
- 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?

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###### Topic Notes

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

###### Related Concepts

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