Final Exam (Extra) Review

Front

What is the formula for a linear function?

Back

f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the value of a function at a specific point?

Back

Substitute the value of x into the function. For example, f(4) in f(x) = 2x + 2 gives f(4) = 2(4) + 2 = 10.

Front

What does the slope of a line represent?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1).

Front

What is the relationship between perpendicular lines in terms of slope?

Back

The slopes of two perpendicular lines are negative reciprocals of each other.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Front

What is the difference between discrete and continuous data?

Back

Discrete data can only take specific values (like counts), while continuous data can take any value within a range.

Front

How do you determine if a graph is increasing or decreasing?

Back

A graph is increasing if the y-values rise as x-values increase, and decreasing if y-values fall as x-values increase.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

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

Back

Calculate the slope (m) using m = (y2 - y1) / (x2 - x1) and then use point-slope form.