Unit 3 Family of Functions Summative

Front

What does the sign of the leading coefficient determine in a polynomial function?

Back

The end behavior as x approaches infinity.

Front

What transformation occurs when the function is multiplied by 3, as in 3f(x)?

Back

The graph becomes narrower or steeper.

Front

How long was the rocket in the air if the graph shows a height over time and the total time is 14 seconds?

Back

14 seconds.

Front

What is the transformation from dotted to solid in the function f(x + 5) + 3?

Back

The graph shifts left 5 units and up 3 units.

Front

What is the end behavior of the function f(x) = -2x^3 - 5x + 4?

Back

The end behavior is up/down.

Front

Define 'end behavior' in the context of polynomial functions.

Back

End behavior describes how the values of a function behave as x approaches positive or negative infinity.

Front

What does a positive leading coefficient indicate about the end behavior of a polynomial function?

Back

As x approaches infinity, f(x) approaches infinity.

Front

What does a negative leading coefficient indicate about the end behavior of a polynomial function?

Back

As x approaches infinity, f(x) approaches negative infinity.

Front

What is the effect of adding a constant to a function, such as f(x) + 3?

Back

The graph shifts upward by 3 units.

Front

What is the effect of subtracting a constant from x in a function, such as f(x - 5)?

Back

The graph shifts to the right by 5 units.