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

Question

Mathematics

Evan Juarez

29 March, 05:22

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

+3

Answers (1)

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Iris · 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.