Question
Identify the maximum or minimum value and the domain and range of the graph of the function y = 2(x – 3)2 – 4.
(1 point)
Responses
minimum value: –4
domain: all real numbers
range: all real numbers greater than equal to–4
minimum value: –4 domain: all real numbers range: all real numbers Image with alt text: greater than equal to –4
maximum value: 4
domain: all real numbers
range: all real numbers A symbol less than or equal to4
maximum value: 4 domain: all real numbers range: all real numbers Image with alt text: A symbol less than or equal to 4
maximum value: –4
domain: all real numbers A symbol less than or equal to–4
range: all real numbers
maximum value: –4 domain: all real numbers Image with alt text: A symbol less than or equal to –4 range: all real numbers
minimum value: 4
domain: all real numbers greater than equal to4
range: all real numbers
(1 point)
Responses
minimum value: –4
domain: all real numbers
range: all real numbers greater than equal to–4
minimum value: –4 domain: all real numbers range: all real numbers Image with alt text: greater than equal to –4
maximum value: 4
domain: all real numbers
range: all real numbers A symbol less than or equal to4
maximum value: 4 domain: all real numbers range: all real numbers Image with alt text: A symbol less than or equal to 4
maximum value: –4
domain: all real numbers A symbol less than or equal to–4
range: all real numbers
maximum value: –4 domain: all real numbers Image with alt text: A symbol less than or equal to –4 range: all real numbers
minimum value: 4
domain: all real numbers greater than equal to4
range: all real numbers
Answers
GPT 3.5
The correct response is:
maximum value: 4
domain: all real numbers
range: all real numbers greater than or equal to -4
maximum value: 4
domain: all real numbers
range: all real numbers greater than or equal to -4
Are you sure
GPT 3.5
Apologies for the confusion. Let's analyze the given function:
y = 2(x - 3)^2 - 4
This is a quadratic function in the form y = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola. In this case, the vertex has coordinates (3, -4).
Since the coefficient of the squared term (2) is positive, the parabola opens upwards, indicating that the vertex represents the minimum value of the function.
So, the correct response is:
Minimum value: -4
Domain: all real numbers
Range: all real numbers greater than or equal to -4
y = 2(x - 3)^2 - 4
This is a quadratic function in the form y = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola. In this case, the vertex has coordinates (3, -4).
Since the coefficient of the squared term (2) is positive, the parabola opens upwards, indicating that the vertex represents the minimum value of the function.
So, the correct response is:
Minimum value: -4
Domain: all real numbers
Range: all real numbers greater than or equal to -4
Related Questions
Identify the maximum or minimum value and the domain and range of the graph of the function
y=2(x-...
factor to solve quadtatic equations
1. what are the coordinates of the vertex of the graph? is it...
Identify the maximum or minimum value and the domain and range of the graph of the function y = 2(x...