Algebra EOC Review (1)

Front

What does the inequality y ≤ -4x represent graphically?

Back

It represents a region below the line y = -4x, including the line itself.

Front

How do you determine the domain of a graph?

Back

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

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, found by setting x = 0.

Front

What is a zero of a function?

Back

A zero of a function is an x-value where the function's output (y-value) is zero.

Front

What defines a function in mathematics?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How do you find the y-intercept from the equation 2x - 3y = 12?

Back

Set x = 0 and solve for y: 2(0) - 3y = 12 → y = -4.

Front

What is the significance of the inequality -9 < x ≤ 2?

Back

It indicates that x can take any value greater than -9 and up to and including 2.

Front

How can you identify if a set of points represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it's not a function.

Front

What does the graph of y = -4x look like?

Back

It is a straight line with a negative slope, passing through the origin.

Front

What is the difference between open and closed intervals in inequalities?

Back

Open intervals do not include endpoints (e.g., (a, b)), while closed intervals do (e.g., [a, b]).