MHF4U - Average & Instantaneous
Rate of Change Question and answers
correctly solved 2025
A line that touches the graph at only one point, P, within a small interval of a
relation; it could, but does not have to, point outside this interval. The tangent
line goes in the same direction as the relation at a point P (called point of
tangency) - correct answer Tangent line
f(x+h)-f(x)/h - correct answer Difference Quotient Formula
An interval of the independent variable of the form a - h <= x <= a, where h is
a small positive value used to determine an average rate of change. - correct
answer Preceding interval
An interval of the independent variable of the form a <= x <= a + h, where h is
a small positive value used to determine an average rate of change. - correct
answer Following interval
And interval of the independent variable of the form a - h <= x <= a + h, where
h is a small positive value used to determine an average rate of change. -
correct answer Centred interval
The instantaneous rate of change of the dependent variable is the rate at
which the dependent variable changes at a specific value of the independent
burial, x = a. - correct answer What is the instantaneous rate of change?
The slower the tangent line at a point on a graph is equivalent to the
instantaneous rate of change of a function at this point. - correct answer What
does the slope of the tangent line mean?
Rate of Change Question and answers
correctly solved 2025
A line that touches the graph at only one point, P, within a small interval of a
relation; it could, but does not have to, point outside this interval. The tangent
line goes in the same direction as the relation at a point P (called point of
tangency) - correct answer Tangent line
f(x+h)-f(x)/h - correct answer Difference Quotient Formula
An interval of the independent variable of the form a - h <= x <= a, where h is
a small positive value used to determine an average rate of change. - correct
answer Preceding interval
An interval of the independent variable of the form a <= x <= a + h, where h is
a small positive value used to determine an average rate of change. - correct
answer Following interval
And interval of the independent variable of the form a - h <= x <= a + h, where
h is a small positive value used to determine an average rate of change. -
correct answer Centred interval
The instantaneous rate of change of the dependent variable is the rate at
which the dependent variable changes at a specific value of the independent
burial, x = a. - correct answer What is the instantaneous rate of change?
The slower the tangent line at a point on a graph is equivalent to the
instantaneous rate of change of a function at this point. - correct answer What
does the slope of the tangent line mean?
