Which of the following represents the range of the function f left-parenthesis x right-parenthesis equals negative 4 times x plus 1 for the domain left-brace negative 5 comma negative 1 comma 0 comma 2 comma 10 right-brace?
(1 point)
Responses
left-brace negative 39 comma negative 7 comma 1 comma 5 comma 21 right-brace
Image with alt text: left-brace negative 39 comma negative 7 comma 1 comma 5 comma 21 right-brace
left-brace negative 41 comma negative 9 comma negative 1 comma 5 comma 21 right-brace
Image with alt text: left-brace negative 41 comma negative 9 comma negative 1 comma 5 comma 21 right-brace
left-brace negative 19 comma negative 3 comma 1 comma 5 comma 21 right-brace
Image with alt text: left-brace negative 19 comma negative 3 comma 1 comma 5 comma 21 right-brace
left-brace negative 41 comma negative 9 comma negative 3 comma negative 19 right-brace
The correct answer is:
left-brace negative 39 comma negative 7 comma 1 comma 5 comma 21 right-brace
To find the range of the function f(x) = -4x + 1 for the given domain {-5, -1, 0, 2, 10}, you need to substitute each value of the domain into the function and determine the corresponding output values.
When x = -5:
f(-5) = -4(-5) + 1 = 20 + 1 = 21
When x = -1:
f(-1) = -4(-1) + 1 = 4 + 1 = 5
When x = 0:
f(0) = -4(0) + 1 = 0 + 1 = 1
When x = 2:
f(2) = -4(2) + 1 = -8 + 1 = -7
When x = 10:
f(10) = -4(10) + 1 = -40 + 1 = -39
Therefore, the range of the function for the given domain is {-39, -7, 1, 5, 21}. Hence, the correct answer is "left-brace negative 39 comma negative 7 comma 1 comma 5 comma 21 right-brace".