PreCal First Semester Recap 5

Front

What does it mean when a solution reads 0=4?

Back

no solution

Front

What type of solution does the system 8x - 4y = 12 and y = 2x - 3 have?

Back

Infinite solutions

Front

What determines the end behavior of a polynomial function?

Back

The degree and the sign of the leading coefficient.

Front

What is the degree of the polynomial function f(x) = -2x^3 + 7x?

Back

odd

Front

What is the leading coefficient of the polynomial function f(x) = -x^2 + 3x + 5?

Back

-1

Front

What does a leading coefficient of a polynomial indicate?

Back

It indicates the direction of the graph as x approaches infinity.

Front

What is the difference between even and odd degree polynomials?

Back

Even degree polynomials have the same end behavior, while odd degree polynomials have opposite end behavior.

Front

How can you identify if a system of equations has no solution?

Back

If the equations represent parallel lines.

Front

What is an example of a polynomial function with infinite solutions?

Back

y = 2x - 3 and 2y = 4x - 6.

Front

What is the significance of the leading coefficient being positive in an even degree polynomial?

Back

The graph rises on both ends.