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The graph shows the height of a football after being thrown. Use the graph to estimate the x- and y-intercepts of the function, where the function is positive and negative, and interpret the meanings in the context of the situation.

The graph shows the height of a football after being thrown Use the graph to estimate the x and yintercepts of the function where the function is positive and n class=


Answer :

From the graphed function, it is found that:

  • The x-intercept is of 5. This means that the football will hit the ground after 5 seconds.
  • The y-intercept is of 6. This means that at time 0, the football was at a height of 6 feet.
  • The function is always positive, which means that the ball is in the air for 6 seconds.
  • The graph shows that the function is never negative.

What are the intercepts of a function f(x)?

  • The x-intercept of a function f(x) is the value of x when the f(x) = 0, that is, the value of x when the function crosses the x-axis.
  • The y-intercept of a function f(x) is the value of y when the x = 0, that is, the value of y when the function crosses the y-axis.

From this graph, it is found that:

  • The x-intercept is of 5. This means that the football will hit the ground after 5 seconds.
  • The y-intercept is of 6. This means that at time 0, the football was at a height of 6 feet.

When a function is positive and when it is negative?

  • A function is positive when it is above the x-axis.
  • A function is negative when it is below the x-axis.

Hence:

  • The function is always positive, which means that the ball is in the air for 6 seconds.
  • The graph shows that the function is never negative.

More can be learned about functions at https://brainly.com/question/24808124

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