Algebra S1 Review/ Holiday

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you convert an equation to standard form?

Back

To convert to standard form, rearrange the equation to the form Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is the domain of a function?

Back

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

Front

What does it mean if a function goes up on the left?

Back

If a function goes up on the left, it means that as x approaches negative infinity, the function's value approaches positive infinity, expressed as \( \lim_{x \to -\infty} f(x) = \infty \).

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

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?

Back

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

Front

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

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, for any two points x1 and x2 where x1 < x2, the function value at x1 is less than the function value at x2.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input, often represented as f(x).