Unit 1 - beg of 5 Mixed Practice

Front

Which mapping diagram is not a function?

Back

A mapping diagram is not a function if any input (x-value) is associated with more than one output (y-value).

Front

What is the solution to the system of equations: y = 2x + 2 and y = -x + 2?

Back

The solution is the point where the two lines intersect, which is (0, 2).

Front

Which of the graphs shown is a function?

Back

A graph is a function if it passes the vertical line test, meaning no vertical line intersects the graph at more than one point. Graph J is a function.

Front

What is the equation of the line that is horizontal at y = 1?

Back

The equation of a horizontal line is of the form y = c, where c is a constant. Here, it is y = 1.

Front

In the equation y=mx+b, what does the m represent?

Back

In the equation y=mx+b, m represents the slope of the line, indicating its steepness.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y=mx+b.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the difference between a linear function and a non-linear function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a non-linear function does not have a constant rate of change and graphs as a curve.

Front

What does it mean for a system of equations to have no solution?

Back

A system of equations has no solution if the lines represented by the equations are parallel and never intersect.