The graph represents the height of a ball after being thrown versus time. Which statement is true? A. The ball attains a maximum
1 answer:
The statement which is true about the thrown ball is that A. The ball attains a maximum height of 70 meters at 4 seconds
<h3>What is a Maximum Height?</h3>
This refers to the highest vertical projectile that an object can attain when acted upon by an external force.
Given the attached diagram that shows the graph of the projectile of the ball, we can observe that its maximum height before it began to fall is 70 meters at 4 seconds based on the values on the x and y-axis.
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The intervals of the function on the graph are:
- Domain = (-∝, ∝)
- Range = (-∝, 2]
- Increases (-∝, 3]
- Decreases [3, ∝)
The function is given as:
f(x) = -2(x-3)² + 2
See attachment for the graph.
From the graph, we have;
Domain = (-∝, ∝)
Because it takes all real values as its input
Range = (-∝, 2]
Because it has a vertex of (3, 2) and the vertex is a maximum
Also, it increases on the interval (-∝, 3] and decreases on the interval [3, ∝)
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1) domain of the first is ( R ) because of its root(3) and its range is (R) because of its root again
2)and domain of the last , is [0,+infinity)
and for its range , you can draw it such as picture and will be [0,- infinity)
