12/05/2024: Unit 2A CA Practice Assessment (Classwork)

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has a constant rate of change and can be expressed in the form C = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a function?

Back

The y-intercept is the point where the graph of a function crosses the y-axis. It represents the value of the function when the input (x) is zero.

Front

How do you determine if a set of numbers can form a right triangle?

Back

To determine if a set of three numbers can form a right triangle, check if they satisfy the Pythagorean theorem: a² + b² = c², where c is the longest side.

Front

What is the formula for calculating average speed?

Back

Average speed is calculated using the formula: Average Speed = Total Distance / Total Time.

Front

What is the slope of a linear function?

Back

The slope of a linear function is the rate of change of the function, representing how much the y-value changes for a unit change in the x-value.

Front

What does it mean for a function to have a constant rate of change?

Back

A function has a constant rate of change if the difference in the output (y) values divided by the difference in the input (x) values remains the same for any two points on the function.

Front

What is the significance of the initial value in a function?

Back

The initial value in a function is the value of the function when the input is zero. It often represents a starting point or baseline in real-world scenarios.

Front

How can you identify the y-intercept from a linear equation?

Back

In a linear equation of the form y = mx + b, the y-intercept is the value of b, which is the point where the line crosses the y-axis.

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value). In contrast, a relation can have multiple outputs for a single input.