EM2 - Unit 3 Retake Flashcardizz

Front

What happens to the function f(x) = ∛(x) when it is reflected over the x-axis?

Back

The function is inverted, meaning all y-values become negative.

Front

How does a vertical shrink by a factor of 1/4 affect the function f(x)?

Back

The output values of the function are multiplied by 1/4, making the graph flatter.

Front

What does it mean to shift a function left by 9 units?

Back

Every point on the graph of the function moves 9 units to the left on the x-axis.

Front

What is the resulting equation when f(x) = ∛(x) is reflected over the x-axis, vertically shrunk by a factor of 1/4, and shifted left 9?

Back

The equation is -1/4 ∛(x + 9).

Front

What is the simplified form of 3 x² y² z √3yz?

Back

The simplified form is 3 x y z √xy².

Front

What is the range of all square root functions?

Back

The range of all square root functions is [0, ∞).

Front

What does it mean for a function to be vertically stretched by a factor of 2?

Back

The output values of the function are multiplied by 2, making the graph steeper.

Front

If a function has been shifted up 1 unit, what does this mean for its graph?

Back

Every point on the graph moves 1 unit up on the y-axis.

Front

What is the significance of the range in a function?

Back

The range indicates all possible output values (y-values) of the function.

Front

What does it mean if a function has been shifted 6 units to the right?

Back

Every point on the graph moves 6 units to the right on the x-axis.