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1.2 Rate Change

Directions: Use the vocabulary from Canvas to complete the crossword.
If the vocabulary term is two words, leave the
space BLANK
Horizontales
The graph of a function is concave down on intervals in which the rate of change is decreasing.
The variable representing the output values.
A mathematical relation that maps a set of input values (domain) to a set of output values (range).
AVERAGE RATE OF CHANGE
The________ of a function over an interval of the function’s domain is the constant rate of change that yields the same change in the output values as the function yielded on that interval of the function’s domain. It is the ratio of the change in the output values to the change in input values over that interval.
A function is decreasing over an interval of its domain: If, as the input values increase, the output values always decrease. That is: For all a,b within an interval, If a<b, then fa>f(b).
Verticales
The variable representing the input values.
he graph of a function is concave up on intervals in which the rate of change is increasing.
A function is increasing over an interval of its domain: If, as the input values increase, the output values always increase. That is: For all a,b within an interval, If a<b, then fa<f(b).
The _____________ of a function at a point quantifies the rate at which output values would change were the input values to change at that point. This rate of change at a point can be approximated by the average rates of change of the function over small intervals containing the point, if such values exist.
The input and output values of a function vary in tandem according to a function, which is expressed graphically, numerically, analytically, or verbally.