Question #71134

2 Answers
Anthony R.
Jul 13, 2017

#h(-4)=13#

Explanation:

Substitute #-4# for #x# and evaluate:

Recall: The absolute value is the distance between the number and zero. The distance is always positive. Thus, #|-4|# is simply asking how far is #-4# away from zero. The distance is #4#

#h(-4)=2|-4|+5#

#=2(4)+5#

#=8+5#

#=13#

Fleur
Jul 13, 2017

#13#

Explanation:

#h(x)=2absx + 5#

To find #h(-4)#, substitute #-4# for #x#.

#h(-4)=2abs(-4) +5#
#h(-4)=2(4)+5# #-># the absolute value of #-4# is #4#
#h(-4)=8+5#
#h(-4)=13#

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