Geometry Question- Triangles
1 answer:
You might be interested in
The true statements for this graph are:
B. The domain is the set of all real numbers.
D. The range is the set of all real numbers greater than or equal to zero.
<h3>What is a domain?</h3>A domain can be defined as the set of all real numbers for which a particular function is defined. For this graph, the vertex of the parabola is (1, 0) and as such, the equation will be given by:
y = (x - h)² + k
y = (x - 2)² + 0
y = x² -4x + 4
Therefore, the graph's domain include a set of all real numbers.
<h3>What is a range?</h3>A range refers to a set of all real numbers that connects with the elements of a domain. For this graph, we can observe that only real numbers greater than or equal to zero (0) are connected to the values on the x-axis of the domain.
In conclusion, we can logically deduce that the true statements for this graph are:
- Its domain include all real numbers.
- Its range include all real numbers that are greater than or equal to zero (0).
Read more on domain here: brainly.com/question/17003159
#SPJ1
Answer:
Exponential function; .
Step-by-step explanation:
We have been given that a tennis tournament starts with 120 players. During each round of the game, half of the players are eliminated from the tournament.
We can see that the change in number of eliminated players is not constant. The number of players in tournament is decreasing exponentially. Therefore, an exponential function best models the relationship between the number of players in the tournament, y, and the game round, x.
We know that exponential decay function is in form , where,
y = Final amount,
a = Initial amount,
b = Decay factor,
t = Time
Since during each round of the game, half of the players are eliminated from the tournament, so decay factor would be .
Initially there were 120 players, so .
Therefore, our required equation would be .