Final Exam Review

Front

What is the solution to the system of equations 4x + 8y = 20 and -4x + 2y = -30?

Back

(7, -1)

Front

Identify the domain of the relation {(-6,14), (0,32), (2,38), (4,44)}.

Back

{-6, 0, 2, 4}

Front

Determine the curve of best fit for the data: y = 0.95x^2 - 2.08x - 0.75.

Back

y = 0.95x^2 - 2.08x - 0.75

Front

In a piecewise-defined function, what symbol indicates that a point is not included in the graph?

Back

open circle

Front

What is the domain of the function f(x) = 1/(x-3)?

Back

(-∞, 3) ∪ (3, ∞)

Front

What is the range of the function f(x) = x^2?

Back

[0, ∞) because the output is always non-negative.

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 a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 and solve for x.