Functions Practice

Front

What is the value of h(-1) if h(x) is a function that outputs -3 for the input -1?

Back

h(-1) = -3.

Front

How do you calculate f(5) for the function f(x) = 2(x - 7)?

Back

Substitute 5 into the function: f(5) = 2(5 - 7) = 2(-2) = -4.

Front

What is the range of a function?

Back

The range is the set of all possible output values of a function. For example, the range {0, 4, 7} includes these specific output values.

Front

What does the minimum of a quadratic function represent?

Back

The minimum of a quadratic function is the lowest point (vertex) on the graph when the parabola opens upwards; it is where the graph changes from decreasing to increasing.

Front

How do you find f(6) for the function f(x) = 3x - 8?

Back

Substitute 6 into the function: f(6) = 3(6) - 8 = 18 - 8 = 10.

Front

What is a function in mathematics?

Back

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

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

Front

How do you determine if a function is increasing or decreasing?

Back

A function is increasing if its output values rise as the input values increase, and decreasing if the output values fall as the input values increase.

Front

What is the difference between the domain and range of a function?

Back

The domain is the set of all possible input values, while the range is the set of all possible output values.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.