INT 3.1 Final

Front

What is the general form of a polynomial function?

Back

Front

What does the degree of a polynomial indicate?

Back

The degree of a polynomial indicates the highest power of the variable in the polynomial. It determines the polynomial's end behavior and the maximum number of roots.

Front

How do you find the zeros of a polynomial?

Back

To find the zeros of a polynomial, set the polynomial equal to zero and solve for the variable. This can involve factoring, using the quadratic formula, or other algebraic methods.

Front

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

Back

Front

What is the effect of adding a constant to a function's output?

Back

Front

Back

Front

What does it mean for a function to be always positive on an interval?

Back

A function is always positive on an interval if its output values are greater than zero for all inputs within that interval.

Front

What is the relationship between the roots of a polynomial and its graph?

Back

The roots of a polynomial correspond to the x-intercepts of its graph. Each root represents a point where the graph crosses or touches the x-axis.

Front

What is the purpose of justifying and critiquing in mathematical arguments?

Back

Justifying and critiquing helps to evaluate the validity of mathematical arguments, ensuring that conclusions are based on sound reasoning and evidence.

Front

How do you determine the sign of a polynomial on an interval?

Back

To determine the sign of a polynomial on an interval, evaluate the polynomial at test points within the interval and check if the output is positive or negative.