Question

Please help, don’t understand. For #14 what would the input of the function be?

Answer 1

a)

h(t) , namely "h" variable is being represented in terms of "t".

h = dependent variable, depends on the value of "t", output.

t = independent variable, takes on values freely, input.

b)

$\bf \stackrel{\stackrel{h(t)}{t=1.4}}{h(1.4)} = \stackrel{h=12.8}{12.8}~~ \begin{cases} t=1.4~~&\textit{after 1.4 seconds}\\ h=12.8~~&\textit{the ball is 12.8 meters up} \end{cases}$

c)

$\bf h(2)=-5(2)^2+14(2)+3\implies h(2)=-20+28+3\implies h(2)=11$

after 2 seconds, the ball is 11 meters high up.