Unit 3 Function Review

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

Define the domain of a function.

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (usually y) that result from using the function.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function and simplify.

Front

What does f(t) = -2t^2 + 1 represent?

Back

This is a quadratic function that opens downwards, with a vertex at (0, 1).

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set the function equal to zero and solve for x.

Front

What is the formula for the vertex of a quadratic function in standard form?

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h), where f(x) = ax^2 + bx + c.

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing on an interval if the output values rise as the input values increase, and decreasing if the output values fall.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation f(x) = mx + b.