Algebra Semester Exam Review

Front

Evaluate f(-5) if f(x) = -2x - 12

Back

f(-5) = -2(-5) - 12 = 10 - 12 = -2.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

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

How do you determine if a graph represents a function?

Back

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

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

Evaluate f(0) if f(x) = -2x - 12

Back

f(0) = -2(0) - 12 = 0 - 12 = -12.

Front

What does it mean for a graph to be 'not a function'?

Back

A graph is 'not a function' if there are multiple outputs (y-values) for a single input (x-value).

Front

What is the range of the function y = -2x + 3?

Back

The range is all real numbers, as the line extends infinitely in both directions.

Front

If a function has a maximum value, what does that indicate about its range?

Back

It indicates that the range is limited to values less than or equal to that maximum value.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3, indicating the line rises 3 units for every 1 unit it moves to the right.