Question

Identify the maximum or minimum value and the domain and range of the graph of the function y = 2(x – 3)2 – 4.

a. minimum value: –4
domain: all real numbers
range: all real numbers –4

b. maximum value: 4
domain: all real numbers
range: all real numbers 4

c. maximum value: –4
domain: all real numbers –4
range: all real numbers

d. minimum value: 4
domain: all real numbers4
range: all real numbers

Answer 1

we are given the equation y = 2(x – 3)^2 – 4 and is asked for the domain and range of the following function. In this case, there is no radical sign so the domain includes all real numbers. The range has a minimum value of -4 since the squaring makes the value on the first term positive. Hence the answer is A.