Alg 2 Final Review

Front

Describe the end behavior of a polynomial graph.

Back

The end behavior of a polynomial graph describes how the graph behaves as x approaches positive or negative infinity. For example, if the leading coefficient is positive and the degree is even, both ends of the graph will rise to infinity. If the leading coefficient is negative and the degree is odd, the left end will rise to infinity while the right end will fall to negative infinity.

Front

What is the difference between maximum and minimum values of a function?

Back

A maximum value is the highest point on the graph of a function, while a minimum value is the lowest point. A function can have either a maximum, a minimum, both, or neither depending on its shape and behavior.

Front

What is the initial value in an exponential function?

Back

The initial value in an exponential function is the value of the function when x = 0. It represents the starting amount before any growth or decay occurs.

Front

How do you find the vertex of a quadratic function in standard form?

Back

Front

Back

Front

What does it mean for a function to be increasing or decreasing?

Back

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

Front

What is the significance of the leading coefficient in a polynomial function?

Back

The leading coefficient determines the end behavior of the polynomial function. It affects whether the graph rises or falls as x approaches positive or negative infinity.

Front

How do you determine if a quadratic function opens upwards or downwards?

Back

A quadratic function opens upwards if the leading coefficient (a) is positive and downwards if it is negative.

Front

What is the axis of symmetry in a quadratic function?

Back

Front

What is a rational function?

Back