To understand different types of functions, let’s look at their equations.
Linear Functions: These are written as ( y = mx + b ). The graph looks like a straight line.
Quadratic Functions: These are in the form ( y = ax^2 + bx + c ). Their graph makes a U-shape called a parabola.
Polynomial Functions: These can have more complicated forms with higher powers. The highest power tells us about the shape of the graph.
Rational Functions: These are written as ( y = \frac{p(x)}{q(x)} ). They can have special lines called asymptotes where the graph doesn’t touch.
Exponential Functions: The equation looks like ( y = ab^x ). These rise or fall quickly and create smooth curves.
Logarithmic Functions: These have the form ( y = \log_b(x) ). Their graph has a distinctive bend.
You can use a calculator to graph these functions and see how they act visually!
To understand different types of functions, let’s look at their equations.
Linear Functions: These are written as ( y = mx + b ). The graph looks like a straight line.
Quadratic Functions: These are in the form ( y = ax^2 + bx + c ). Their graph makes a U-shape called a parabola.
Polynomial Functions: These can have more complicated forms with higher powers. The highest power tells us about the shape of the graph.
Rational Functions: These are written as ( y = \frac{p(x)}{q(x)} ). They can have special lines called asymptotes where the graph doesn’t touch.
Exponential Functions: The equation looks like ( y = ab^x ). These rise or fall quickly and create smooth curves.
Logarithmic Functions: These have the form ( y = \log_b(x) ). Their graph has a distinctive bend.
You can use a calculator to graph these functions and see how they act visually!