What is the function rule represented by the following mapping diagram?

y = -5x + 1
y = x + 1
y = -3x - 1
y = -4x

The linear function that maps the diagram is:

A linear function has the following format:

In which:

In the diagram, when , thus, the y-intercept is , and:

Point (1,-4) is on the diagram, which means that when , and this is used to find m.

Then, the equation is:

A similar problem is given at link

y = -5x + 1

Step-by-step explanation:

y = -5x + 1 is correct.  

Note that at x = 0, y = 0 + 1 = 1 → (0, 1), and

                at x = 1, y = -5 + 1 = -4 → (1, -4), and

                 at x = -1, y = 5 + 1 = 6  → (-1, 6)

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!