Make a table with the domain of {2,3,4,5,6} and draw a graph of the absolute value function y = 2|x-4| + 3.
Accepted Solution
A:
Answer:Table for y = 2|x-4| + 3 on domain {2,3,4,5,6} is given as:x y2 2|x-4| + 3 = 2|2-4| + 3 = 73 2|x-4| + 3 = 2|3-4| + 3 = 54 2|x-4| + 3 = 2|4-4| + 3 = 35 2|x-4| + 3 = 2|5-4| + 3 = 56 2|x-4| + 3 = 2|6-4| + 3 = 7The graph of the absolute value function y = 2|x-4| + 3 for the given domain is attached.Step-by-step explanation:The absolute value parent function, written as function(x) = | x |, is defined as:|x| = x and |-x| = xIn our case;For x = 2 y = 2|x-4| + 3 = 2|2-4| + 3 = 2|-2| + 3= 2*2 + 3= 4 + 3= 7Similarly, for all other values of x in the given domain, value of y can be calculated.