Algebra Review- Domain, Range, 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

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 the domain from a graph?

Back

The domain can be determined by identifying the x-values that the graph covers.

Front

How do you determine the range from a graph?

Back

The range can be determined by identifying the y-values that the graph covers.

Front

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

Back

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

Front

What does it mean if a function is defined for all real numbers?

Back

It means that there are no restrictions on the input values; any real number can be used as an input.

Front

What is a parabola?

Back

A parabola is a U-shaped graph that represents a quadratic function.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point on the graph of a parabola.

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves.

Front

If a parabola opens upwards, what can you say about its range?

Back

The range will start from the y-coordinate of the vertex and go to positive infinity.