Algebra CR #2

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

What are the x- and y-intercepts of the linear function given by the equation 3x + 4y = -12?

Back

The x-intercept is (-4, 0) and the y-intercept is (0, -3).

Front

Write the slope-intercept form of the equation 3x - 2y = -16.

Back

y = 3/2 x + 8.

Front

What is the range in a function?

Back

The range is the set of all possible output values (y-values) of a function.

Front

What does the graph of y ≥ -3 look like?

Back

The graph includes all points above and on the line y = -3.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find 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 is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for a function.

Front

What is the difference between a relation and a function?

Back

A relation can have multiple outputs for a single input, while a function has only one output for each input.

Front

How do you convert the equation 2y = 6x + 12 into slope-intercept form?

Back

Divide by 2 to get y = 3x + 6.