Mayerlin is standing in a stadium and has the option of running up a staircase or down a staircase for exercise. The function f, of, x, equals, start fraction, 1, divided by, 50, end fraction, left bracket, open vertical bar, 7, x, close vertical bar, plus, 5, x, right bracketf(x)=
50
1
(∣7x∣+5x) will determine how many calories Mayerlin will burn if she runs up xx steps. Use a negative value for xx if she runs down the stairs. Find and interpret the given function values and determine an appropriate domain for the function.
Answer
Attempt 1 out of 2
f, of, minus, 30, equalsf(−30)=
, means if Mayerlin runs
30 stairs, she will burn
calories. This interpretation
in the context of the problem.
f, of, 25, equalsf(25)=
, means if Mayerlin runs
25 stairs, she will burn
calories. This interpretation
in the context of the problem.
f, of, 32, point, 5, equalsf(32.5)=
, means if Mayerlin runs
32.5 stairs, she will burn
calories. This interpretation
in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the function is
.