Question

Y=x, y=x^2, y=x^3, y=|x,| y=1/x, y=x, y=e^x, y=1/1+e^-x, y=ln(x), y=floor(x), y=sinx, y=cosx

12. three functions that are bounded above

Answer 1

Answer:Three functions that are bounded above are y = x^2, y = x^3, y = e^x.

y = x^2 is a parabola that opens upward and has a vertex at the origin (0,0). As x increases or decreases, y will always be positive and increases or decreases accordingly, so the function is bounded above by positive infinity.

y = x^3 is a cubic function that also opens upward. As x increases or decreases, y will always be positive and increases or decreases accordingly, so the function is bounded above by positive infinity.

y = e^x is the exponential function where e is Euler's number (approximately 2.718). As x increases, y will increase towards positive infinity, so the function is bounded above by positive infinity.

Explanation: