Which function is nonlinear?(1 point)

Question

Responses

y=12x+8
y is equal to 12 x plus 8

y=58x
y is equal to 5 eighths x

y=8⋅2x−9
y is equal to 8 times 2 x minus 9

y=5.2 (7.1)x

Answer 1

To determine which of the functions is nonlinear, we can analyze them based on their mathematical forms:

1. y = 12x + 8: This is a linear function (it has the form y = mx + b).

2. y = (5/8)x: This is also a linear function (it has the form y = mx).

3. y = 8⋅2^(x−9): This is a nonlinear function because it involves an exponential component (the variable x is in the exponent).

4. y = 5.2(7.1)^x: This is also a nonlinear function because it has a variable in the exponent.

Out of the options, y = 8⋅2^(x−9) and y = 5.2(7.1)^x are nonlinear functions. However, since you are looking for a single answer, just one of these two would suffice.

If we need to choose just one based on the provided options, let's go with:

y = 8⋅2^(x−9) as a representative nonlinear function.