Pre calculus unit 1 vocab: Increasing/Decreasing and Concavity

f is positive

Graph is above the x-axis

f is negative

Graph is below the x-axis

The rate of change of f is positive

The slope is positive or increasing

f is increasing

The slope is positive or increasing

The rate of change of f is negative

The slope is negative or decreasing

f is decreasing

The slope is negative or decreasing

The rate of change of f is increasing

Concave up (upside down bucket)

The graph of f is concave up

Concave up (up right bucket)

The rate of change of f is decreasing

Concave down (upside down bucket)

The graph of f is concave down

Concave down (upside down bucket)

f is increasing at an increasing rate

Graph is increasing and getting steeper (Increasing concave up)

f is increasing and the graph is concave up

Graph is increasing and getting steeper (Increasing concave up)

The rate of change of f is positive and increasing

Graph is increasing and getting steeper (Increasing concave up)

f is increasing at a decreasing rate

Graph is increasing and getting less steep (Increasing concave down)

f is increasing and the graph is concave down

Graph is increasing and getting less steep (Increasing concave down)

The rate of change of f is positive and decreasing

Graph is increasing and getting less steep (Increasing concave down)

f is decreasing at a decreasing rate

Graph is decreasing and becoming less steep (Decreasing concave up)

f is decreasing and the graph is concave up

Graph is decreasing and becoming less steep (Decreasing concave up)

The rate of change of f is negative and increasing

Graph is decreasing and becoming less steep (Decreasing concave up)

f is decreasing at an increasing rate

The graph is decreasing and getting steeper (Decreasing concave down)

f is decreasing and the graph is concave down

The graph is decreasing and getting steeper (Decreasing concave down)

The rate of change of f is negative and decreasing

The graph is decreasing and getting steeper (Decreasing concave down)