Math 3 Review Flashcardzis (Midterm)

Front

To graph the inverse of a function, what do you do?

Back

Switch the x and y coordinates and plot the new points.

Front

What is the result of (2x + 3)(x^2 + 4x + 1)?

Back

2x^3 + 11x^2 + 14x + 3.

Front

What is the result of (x + 5)(x + 4)?

Back

x^2 + 9x + 20.

Front

What is the Domain of the function?

Back

-3 < x ≤ 3.

Front

What are the zeros of the polynomial y = (x + 4)(x + 1)(x - 3)?

Back

-4, -1, 3.

Front

What is the definition of a polynomial?

Back

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

Front

What is the degree of the polynomial 2x^3 + 11x^2 + 14x + 3?

Back

The degree is 3.

Front

How do you find the zeros of a polynomial?

Back

Set the polynomial equal to zero and solve for x.

Front

What is the difference between a function and a relation?

Back

A function is a relation where each input has exactly one output.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements.