use the graph of a function ( y = f(x) ) to find the absolute maximum and the absolute minimum, if they…

use the graph of a function ( y = f(x) ) to find the absolute maximum and the absolute minimum, if they exist. identify any local maximum values or local minimum values.\n(type integers or simplified fractions.)\nc. there is no local minimum for ( y = f(x) ).\nselect the correct answer and, if necessary, fill in the answer boxes to complete your choice.\na. the absolute maximum of ( y = f(x) ) is ( f(1)=5 ).\n(type integers or simplified fractions.)\nb. there is no absolute maximum for ( y = f(x) ).\nselect the correct answer and, if necessary, fill in the answer boxes to complete your choice.\na. the absolute minimum of ( y = f(x) ) is ( f()= ).\n(type integers or simplified fractions.)\nb. there is no absolute minimum for ( y = f(x) ).
Answer
Explanation:
Step1: Identify absolute minimum
The absolute minimum of a function is the lowest ( y - ) value on its graph. Looking at the points ((1,5)), ((2,3)), ((3,4)), ((4,1)), the ( y - ) value (1) is the smallest. The ( x - ) value corresponding to ( y = 1) is (4).
Answer:
A. The absolute minimum of (y = f(x)) is (f(4)=1)