Practice 12-09-24

Front

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

Back

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

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input (x-value) corresponds to exactly one output (y-value).

Front

Evaluate g(x) = 5 - 6x at x = -5.

Back

g(-5) = 5 - 6(-5) = 5 + 30 = 35.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, defined by the equation y = mx + b.

Front

Identify the function from the following set: {(1,-5), (3,1), (-5,4), (4,-2)}, {(2,7), (3,7), (4,7), (5,8)}, {(1,-5), (-1,6), (1,5), (6,-3)}, {(3,-2), (5,-6), (7,7), (8,8)}.

Back

The relation {(2,7), (3,7), (4,7), (5,8)} is a function.

Front

What is the y-intercept in the equation y = 2x + 6?

Back

The y-intercept is 6, which is the value of y when x = 0.

Front

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

Back

Use the formula for slope (m = (y2 - y1) / (x2 - x1)) to find the slope, then use point-slope form to write the equation.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output, while a relation can have multiple outputs for a single input.

Front

If f(x) = 3x + 2, what is f(4)?

Back

f(4) = 3(4) + 2 = 12 + 2 = 14.