Identifying Functions

Front

What is an Inverse Variation?

Back

A relationship between two variables where the product of the variables is constant. If one variable increases, the other decreases.

Front

What is a Piecewise Function?

Back

A function that is defined by different expressions for different intervals of the input variable.

Front

What is a Quadratic Function?

Back

A function that can be expressed in the form y = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does an Absolute Value Function look like?

Back

It produces a V-shaped graph, defined as y = |x|.

Front

What is a Constant Function?

Back

A function that always returns the same value regardless of the input, represented as y = c, where c is a constant.

Front

What is Direct Variation?

Back

A relationship where one variable is a constant multiple of another, expressed as y = kx, where k is a non-zero constant.

Front

What is the general form of a Linear Function?

Back

A function that can be expressed as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the graph of a Quadratic Function?

Back

A parabola that opens upwards or downwards depending on the sign of the coefficient a in y = ax² + bx + c.

Front

What is the difference between a Linear Function and a Quadratic Function?

Back

Linear functions have a constant rate of change (straight line), while quadratic functions have a variable rate of change (curved line).

Front

What is the vertex of a Quadratic Function?

Back

The highest or lowest point of the parabola, found at the coordinates (h, k) in the vertex form y = a(x-h)² + k.