Algebra Unit 4 Functions Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as a set of ordered pairs, a mapping diagram, or a graph.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, it is not a function.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is a relative maximum?

Back

A relative maximum is the highest point in a particular section of a graph. It is higher than all nearby points.

Front

Evaluate f(0) if f(x) = 2x + 3.

Back

f(0) = 2(0) + 3 = 3.

Front

What does it mean for a function to be quadratic?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

How do you find the maximum value of a quadratic function?

Back

The maximum value of a quadratic function in the form f(x) = ax^2 + bx + c (where a < 0) can be found using the vertex formula: x = -b/(2a).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its corresponding output.

Front

Evaluate f(-2) if f(x) = x + 3.

Back

f(-2) = -2 + 3 = 1.