Question

each year, lindsey goes in for an annual physical. as part of the physical, the doctor measures lindseys height. the function ( f(x) ) gives lindseys height in feet when she is ( x ) years old. what does ( f(5)>f(4) ) tell you? between two annual physicals, lindsey grew taller. between two annual physicals, lindsey grew 1 foot.

Explanation:

The function \( f(x) \) represents Lindsey's height at age \( x \). When \( f(5)>f(4) \), it means that the value of the function (height) at \( x = 5 \) (age 5) is greater than the value of the function at \( x = 4 \) (age 4). This implies that between the ages of 4 and 5 (i.e., between two annual physicals), Lindsey's height increased. It does not mean she grew exactly 1 foot because \( f(5)-f(4)>0 \) only tells us the height at 5 is more than at 4, not the exact difference.

Answer:

Between two annual physicals, Lindsey grew taller.