FOA End of the Year Review Practice 1

Front

What is the zero of a linear function?

Back

The zero of a linear function is the x-value where the function's output (y) is zero, indicating where the graph intersects the x-axis.

Front

How do you determine if a coordinate pair is in the solution set of an inequality?

Back

Substitute the x and y values of the coordinate pair into the inequality. If the inequality holds true, the pair is in the solution set.

Front

What does it mean for y to be a function of x?

Back

It means that for every x-value, there is exactly one corresponding y-value. This can be represented as y = f(x).

Front

How do you find the slope of a linear function from a graph?

Back

The slope is calculated as the rise (change in y) over the run (change in x) between two points on the line.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation x = -b/(2a) for a quadratic in standard form.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a quadratic function has a variable rate of change and graphs as a parabola.

Front

How do you identify the y-intercept of a linear function from its equation?

Back

The y-intercept can be found by setting x = 0 in the equation and solving for y.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the steepness of the line and the direction of the relationship between x and y; a positive slope means y increases as x increases.

Front

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

Back

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