The height in feet of a rocket launched into the air is modeled by the function (t)=-16t^2+160t+300 where t is time in seconds.
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Only true statement for function f(x) = is <u>c. if the value of x increases by 1, the value of y will triple</u>.
<u>Step-by-step explanation:</u>
<u>a. the function decreases </u>
f(x) = , For value of x<1 function decreases and for x>1 function increases . False statement .
<u>c. if the value of x increases by 1, the value of y will triple. </u>
For value of x increases by 1 we have , . True statement.
<u>b. the function has a y-intercept of (0, 3) </u>
At y intercept x=0, f(x) = ,
. Function has a y-intercept of (0,3). False statement.
<u>d. the function contains the point (1, 4)</u>
At x=1, . Function contains (1,12) not (1,4) . False statement.
The area of the region is then given by