algebra1 EOC#2

Front

What is the definition of a function?

Back

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

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function f(x) at a point x = a, substitute a into the function: f(a).

Front

What is the formula for finding the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

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.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the rate of change in a linear relationship?

Back

The rate of change is the same as the slope of the line, indicating how much y changes for a unit change in x.

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

How do you determine the equation of a line given two points?

Back

First, calculate the slope using the two points, then use the point-slope form to write the equation.

Front

What is the point-slope form of a linear equation?

Back

The point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.