Question

For what values of x is the instantaneous rate of change positive for this graph (attached)? When is the instantaneous rate of change increasing?

Answer 1

Please Anyone?

Answer 2

positive rate of change means: as x is increasing, y is also increasing

Answer 3

so what would be the x values that would be positive? And does positive instantaneous rate of change mean the same thing as increasing rate of change.

Answer 4

Does positive instantaneous rate of change mean the same thing as increasing rate of change?

Answer 5

as we move from left to right (x is increasing)
---> the graph is going up until x=-3 (positive rate of change)
---> the graph breaks at x=-3
---> the graph continues going up -3 and 0 (positive rate of change)
---> the graph flattens out at x=0 (zero rate of change
---> the graph starts moving downwards after x=0 (negative rate of change)

Answer 6

I get that part. But I'm looking for when the rate of change itself is increasing or decreasing. Not the graph.

Answer 7

Part 1) For what values of x is the instantaneous rate of change positive for this graph?
\[x<-3,\text{ or} -3<x<0\]

Answer 8

Part 2) When is the instantaneous rate of change increasing?

umm... do we have the equation for f(x)

Answer 9

My main concern is if positive instantaneous rate of change mean the same thing as increasing rate of change?

Answer 10

no they ar not the same.

Answer 11

this is graph of y =f(x)

to see if rate of change is increasing we draw some tangent lines.