Review Precalculus Functions Unit Test

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

What is the parent function of a quadratic equation?

Back

The parent function of a quadratic equation is y = x^2.

Front

How do you determine if a function is even?

Back

A function is even if f(-x) = f(x) for all x in the domain.

Front

How do you determine if a function is odd?

Back

A function is odd if f(-x) = -f(x) for all x in the domain.

Front

What is the average rate of change of a function?

Back

The average rate of change of a function f from x=a to x=b is given by (f(b) - f(a)) / (b - a).

Front

What does the graph of y = (x - 1)^2 - 9 represent?

Back

This graph is a parabola that opens upwards, with its vertex at (1, -9).

Front

What is the vertex of a parabola given by the equation y = a(x - h)^2 + k?

Back

The vertex of the parabola is the point (h, k).

Front

What is the significance of the 'a' value in the quadratic function y = ax^2 + bx + c?

Back

The 'a' value determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.

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.