Final Review

Front

What is the effect of translating the graph of f(x) = |x| 7 units left and 4 units down?

Back

The new equation of the function is f(x) = |x + 7| - 4.

Front

What is the slope-intercept form of a line?

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

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

What does it mean for a function to be even?

Back

A function is even if f(-x) = f(x) for all x in the domain.

Front

What does it mean for a function to be odd?

Back

A function is odd if f(-x) = -f(x) for all x in the domain.

Front

How do you determine if a graph is linear?

Back

A graph is linear if it forms a straight line and can be described by a linear equation.

Front

What is the formula for the distance between two points (x1, y1) and (x2, y2)?

Back

The distance d is given by d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the y-intercept of a line?

Back

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