Question

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?

A. left-brace negative 39 comma negative 7 comma 1 comma 5 comma 21 right-brace
B. left-brace negative 41 comma negative 9 comma negative 1 comma 5 comma 21 right-brace
C. left-brace negative 19 comma negative 3 comma 1 comma 5 comma 21 right-brace
D. left-brace negative 41 comma negative 9 comma negative 3 comma negative 19 right-brace

Answer 1

The range of the function f(x) = -4(x + 1) for the given domain {-5, -1, 0, 2, 10} is calculated by substitution, resulting in the range values {16, 0, -4, -12, -44}.

Step-by-step explanation:

To find the range of the function f(x) = -4(x + 1) for the given domain {-5, -1, 0, 2, 10}, we need to substitute each domain value into the function and find the corresponding output (range) values.

1. For x = -5, f(-5) = -4(-5 + 1) = -4(-4) = 16.
2. For x = -1, f(-1) = -4(-1 + 1) = -4(0) = 0.
3. For x = 0, f(0) = -4(0 + 1) = -4(1) = -4.
4. For x = 2, f(2) = -4(2 + 1) = -4(3) = -12.
5. For x = 10, f(10) = -4(10 + 1) = -4(11) = -44.

Therefore, the range for the given domain is {16, 0, -4, -12, -44}.