FunFlashcard Topic 1 to 4

Front

What is the y-intercept of the function f(x) = -x^4 + x^3 + 5x^2 + x + 6?

Back

The y-intercept is 6.

Front

Describe the transformations of the function: Shift up by 2 units, Reflected over the x-axis.

Back

The function is shifted up by 2 units and reflected over the x-axis.

Front

What is the end behavior of the graph as x approaches infinity?

Back

As x → ∞, y → -∞ and as x → -∞, y → -∞.

Front

What are the zeros of the function?

Back

The zeros are -3, -1, 2, and 5.

Front

What is the horizontal asymptote of the function?

Back

The horizontal asymptote is y = -3.

Front

What does the term 'y-intercept' mean?

Back

The y-intercept is the point where the graph intersects the y-axis.

Front

What does it mean to reflect a function over the x-axis?

Back

Reflecting over the x-axis means that for every point (x, y), the new point will be (x, -y).

Front

What is a zero of a function?

Back

A zero of a function is a value of x that makes the function equal to zero.

Front

What is an asymptote in graphing?

Back

An asymptote is a line that a graph approaches but never touches.

Front

What does it mean for a function to shift up by 2 units?

Back

Shifting up by 2 units means adding 2 to the y-value of every point on the graph.