Each quotation is a statement about a quantity of something changing over time. Let f(t) represent the quantity at time t . For each quotation, tell what f represents and whether the first and second derivatives of f are positive or negative. a) "The child's temperature is still rising, but slower than it was a few hours ago." For this quotation, f represents the child's temperature; f prime is positive since the temperature of the child is rising (f), f double prime is negative since the graph is concave down.
b) "The number of whales is decreasing, but at a slower rate than last year." For this quotation, f represents the number of whales; f prime is negative since the number of whales is decreasing (f), f double prime is positive since the graph is concave up.
c) "The number of people with the flu is rising and at a faster rate than last month." For this quotation, f represents the number of people with the flu; f prime is positive since the number of people with the flu is rising (f), f double prime is negative since the graph is concave down.