Final Exam Review: Intermediate Sem1 (2425)

Front

What is the RANGE of a graph?

Back

The RANGE of a graph is the set of all possible output values (y-values) that the function can produce. It is often expressed in interval notation.

Front

What is the DOMAIN of a graph?

Back

The DOMAIN of a graph is the set of all possible input values (x-values) that the function can accept. It is often expressed in interval notation.

Front

Write the slope-intercept form of a line given two points: (3,5) and (0,4).

Back

Front

In a direct variation, if y = 39 when x = 3, what is y when x = 2?

Back

Using the formula for direct variation, y = kx, we find that y = 26 when x = 2.

Front

What is a Relative Maximum in a graph?

Back

A Relative Maximum is the highest point in a particular section of a graph, where the function value is greater than the values of the function at nearby points.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the value of f(x) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the value of f(x) decreases.

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).

Front

What is the formula for slope-intercept form?

Back

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 slope-intercept form.