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) )

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: Analyze the graph for 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)) on the graph of (y = f(x)). We compare the (y-)values: (y_1 = 5), (y_2=3), (y_3 = 4), (y_4=1).

Step2: Identify the absolute minimum

Since (1<3 < 4<5), and the point ((4,1)) is on the graph of (y = f(x)). The (x-)coordinate is (4) and the (y-)coordinate (the value of the function) is (1). So (f(4)=1).

Answer:

A. The absolute minimum of (y = f(x)) is (f(4)=1)