Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The fun
ction y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.
2 answers:
Answer:
The correct options are B and D.
Step-by-step explanation:
Consider the provided function
The provided function is a quadratic function.
A polynomial function with highest exponent equal to 1 is known as linear functions. Nonlinear functions are all other functions.
The provided function has the exponent 2 which is greater than 1.
Thus, the provided function is a nonlinear function.
Also, the rate of change of a quadratic function does not remain the same.
Therefore, the correct options are B and D.
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Option D:
Solution:
Given function:
To find the inverse of the function.
<u>Inverse of a function:</u>
<em>If a function f(x) is mapping x to y, then the inverse function of f(x) maps y back to x.</em>
Interchange the variables x and y.
Now, solve for y.
Multiply both sides by (y - 5).
Cancel the common factors, we get
Divide by x on both sides.
Add 5 on both sides.
To make the denominator same, multiply the 2nd term by .
Option D is the correct answer.