Pop Flashcard 2

Front

The graph ___________ when the rate of change is increasing.

Back

is Concave UP

Front

The graph of a function is decreasing at [a, b] if

Back

f(a) > f(b)

Front

The slope is ______________ at x = 1.

Back

negative

Front

How many inflection points are there in the graph?

Back

four

Front

How many possible complex roots does j(x) have?

Back

4 real and 2 non-real

Front

What does it mean for a graph to be concave up?

Back

The graph is shaped like a cup and the slope of the tangent line is increasing.

Front

What is an inflection point?

Back

A point on the graph where the curvature changes from concave up to concave down or vice versa.

Front

How can you determine if a function is increasing on an interval?

Back

If f(a) < f(b) for all a, b in the interval.

Front

What is the significance of the slope of a tangent line?

Back

It represents the instantaneous rate of change of the function at that point.

Front

What does it mean for a function to have complex roots?

Back

It means the function intersects the x-axis at points that are not real numbers.