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  - Domain and Range
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Domain and Range

Three Different Functions?

Consider the function \(f(x)=6+1.5x\).

\(f(x)\) is the cost of a pizza with \(x\) toppings.
- Graph is a line of individual points.
- Graph starts at \(x=0\).

Three Different Functions?

Consider the function \(f(x)=6+1.5x\).

Possible contexts:

\(f(x)\) is the cost of a pizza with \(x\) toppings.
- Graph is a line of individual points.
- Graph starts at \(x=0\).
\(f(x)\) is the cost of a taxi ride of \(x\) km.
- Graph is a line with \(y\)-intercept \(6\) and slope \(1.5\).
- Graph starts at \(x=0\).

Three Different Functions?

Consider the function \(f(x)=6+1.5x\)

Possible contexts:

\(f(x)\) is the cost of a pizza with \(x\) toppings
- Graph is a line of individual points
- Graph starts at \(x=0\)
\(f(x)\) is the cost of a taxi ride of \(x\) km
- Graph is a line with \(y\)-intercept \(6\) and slope \(1.5\)
- Graph starts at \(x=0\)
\(f(x)\) is the price of a \($6\) item after \(x\) price adjustments of \($1.50\).
- Graph is a line.
- Graph can include negative \(x\)-values.

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Lesson Goals

Determine the domain and range of a function containing only a few points.
Use set notation to describe the domain and range of a given function.
Determine the domain and range of quadratic functions.

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