A charter boat travels at a maximum rate of 25 miles per hour. The function d(x) = 25x represents the distance d(x), in miles, t
hat the boat can travel in x hours. The charter boat travels a maximum distance of 75 miles from the shore. Find a reasonable domain and range for this function?
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Answer:
5
Step-by-step explanation:
Considering the definition of zeros of a function, the zeros of the quadratic function f(x) = x² + 4x +9 do not exist.
<h3>Zeros of a function</h3>The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.
In summary, the roots or zeros of the quadratic function are those values of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.
In a quadratic function that has the form:
f(x)= ax² + bx + c
the zeros or roots are calculated by:
The quadratic function is f(x) = x² + 4x +9
Being:
- a= 1
- b= 4
- c= 9
the zeros or roots are calculated as:
and
If the content of the root is negative, the root will have no solution within the set of real numbers. Then has no solution.
Finally, the zeros of the quadratic function f(x) = x² + 4x +9 do not exist.
Learn more about the zeros of a quadratic function:
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