In: Advanced Math
For the following exercises, identify whether the statement represents an exponential function. Explain.
The height of a projectile at time t is represented by the function h(t) = −4.9t 2 + 18t + 40.
Consider that that height of a projectile at time t is represents by the function h(t) = -4.9t2 + 18t + 40, whether the statement represents the exponential or not is determined as follows:
Exponential function is a function whose value is a constant raised to the power of the argument, especially the function where the constant is.
The function is represented as h(t) = -4.9t2 + 18t + 40, the function shows a linear form and the height of the projectile is decreased during the time t.
Hence, the statement is not exponential because the height of the projectile decreases by a time, so the statement represents a linear function.
Hence, the statement is not exponential because the height of the projectile decreases by a time, so the statement represents a linear function.