Which of the following functions has a constant slope?
y = 3x – 5
y = 5x2 – 4x + 6
y = 3x3 + 9x2 – 8x + 11
All of the choices
The function y = 3x – 5 has a constant slope of 3.
A function has a constant slope if and only if it is a linear function.
Looking at the given choices:
1. y = 3x - 5 is a linear function with a constant slope of 3.
2. y = 5x^2 - 4x + 6 is a quadratic function and does not have a constant slope.
3. y = 3x^3 + 9x^2 - 8x + 11 is a cubic function and does not have a constant slope.
Therefore, only the function y = 3x - 5 has a constant slope.