Given the function f(x) = 4 - 2x: If the domain is {-4, 0, 5}, find the range. A) {-4, 4, -6} B) {-4, 4, 14} C) {12, 4, -6} D) {
2 answers:
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Answer:
The height of a bouncing ball is defined by .
Step-by-step explanation:
According to this statement, we need to derive the expression of the height of a bouncing ball, that is, a function of the number of bounces. The exponential expression of the bouncing ball is of the form:
,
,
(1)
Where:
- Height reached by the ball on the first bounce, measured in feet.
- Decrease rate, no unit.
- Number of bounces, no unit.
- Height reached by the ball on the n-th bounce, measured in feet.
The decrease rate is the ratio between heights of two consecutive bounces, that is:
(2)
Where is the height reached by the ball on the second bounce, measured in feet.
If we know that and
, then the expression for the height of the bouncing ball is:
The height of a bouncing ball is defined by .