Algebra 1 Functions Test

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 find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the x-value into the function's equation and solve for f(x).

Front

What does it mean if a function is defined as f(x) = 3x - 7?

Back

This means that for every input x, the output is calculated by multiplying x by 3 and then subtracting 7.

Front

What is the difference between open and closed intervals in domain and range?

Back

An open interval does not include its endpoints, while a closed interval includes its endpoints.

Front

If f(x) = -2x^2 - 3, what is the maximum value of f(x)?

Back

The maximum value occurs at the vertex of the parabola, which is -3 in this case.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the highest or lowest point of the parabola, depending on its orientation.

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.