INT 3.1 Final

Front

What is Model with Mathematics?

Back

Using mathematical concepts to represent and solve real-world problems, such as interpreting the colors in a stoplight.

Front

What is the equation of p if p(x) = (x + 3)(x + 1)(2x - 1)?

Back

p(x) = (x + 3)(x + 1)(2x - 1) is a polynomial function.

Front

How do you identify the correct graph for a polynomial function?

Back

Analyze the degree and leading coefficient of the polynomial to determine its end behavior and intercepts.

Front

What transformation does y = h(x + 1) + 3 represent?

Back

This represents a horizontal shift left by 1 unit and a vertical shift up by 3 units.

Front

What is the equation of p if p(x) = (2x - 1)^3(x - 2)^2?

Back

p(x) = (2x - 1)^3(x - 2)^2 is a polynomial function with specific roots and multiplicities.

Front

Define a polynomial function.

Back

A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

What does the leading coefficient of a polynomial indicate?

Back

The leading coefficient determines the end behavior of the polynomial function.

Front

How do you find the roots of a polynomial?

Back

Set the polynomial equal to zero and solve for the variable.

Front

What is the significance of multiplicity in polynomial roots?

Back

Multiplicity indicates how many times a root is repeated and affects the graph's behavior at that root.