Question

A function has an output of 7 for every input. Which function(s) has (have) the same slope as the function described? Select all that apply.

Options:
a. y = 3x + 4
b. y = 7
c. y = -2x + 15
d. y = 1/7x + 2

Answer 1

The function that has an output of 7 for every input is a constant function with a slope of 0. None of the given options have the same slope.

Step-by-step explanation:

The function that has an output of 7 for every input is a constant function. A constant function is a function that has the same value for all inputs. In this case, the function can be represented as y = 7. The slope of a constant function is always 0, so none of the options (a), (b), (c), or (d) have the same slope as the given function.