Unit 4 Function & Relations Practice

Front

What is the formula for a quadratic function?

Back

The formula for a quadratic function is y = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you find the value of y in a quadratic function when given a specific value of x?

Back

Substitute the given value of x into the quadratic function and solve for y.

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is represented by the slope (m) in the equation y = mx + b.

Front

How can you determine which of two linear functions has a greater rate of change?

Back

Compare the slopes of the two functions; the function with the larger slope has the greater rate of change.

Front

What does it mean for a statement to accurately represent a graph?

Back

It means that the statement correctly describes the relationship between the variables as shown in the graph.

Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What are independent and dependent variables in a function?

Back

The independent variable is the input (x), while the dependent variable is the output (y) that depends on the input.

Front

How do you determine if a set of points represents a function?

Back

A set of points represents a function if no two points have the same x-coordinate.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, representing the value of y when x = 0.

Front

How do you solve for x in a linear equation given a value for y?

Back

Rearrange the equation to isolate x on one side and then substitute the given value of y to solve for x.