PreCalculus Diagnostic

Front

What is a quadratic function?

Back

Front

How do you find the composition of two functions, f(g(x))?

Back

Front

What is the solution to the equation y = 5x?

Back

The solution is any point (x, y) that satisfies the equation. For example, (1, 5) is a solution because when x = 1, y = 5(1) = 5.

Front

What is the vertex form of a quadratic function?

Back

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2, then f(x1) < f(x2).

Front

What is the standard form of a quadratic equation?

Back

Front

How do you determine the axis of symmetry for a quadratic function?

Back

Front

What is the discriminant of a quadratic equation?

Back

Front

What are the possible values of the discriminant and their meanings?

Back

If D > 0, there are two distinct real roots; if D = 0, there is one real root (a repeated root); if D < 0, there are no real roots (complex roots).

Front

What is a function?

Back

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