Given f(x)=} (7 – x)2 , what is the value of f(21) ?
2 answers:
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Considering the vertex of the parabola, the correct statement is given by:
The range of the function is all real numbers less than or equal to 9.
<h3>What is the vertex of a quadratic equation?</h3>A quadratic equation is modeled by:
The vertex is given by:
In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point, which means that the range is all real numbers less than or equal to
.
- If a > 0, the vertex is a minimum point, which means that the range is all real numbers greater than or equal to
In this problem, we have that:
- a = -1 < 0, hence the vertex is a maximum point.
- The vertex is (-2,9).
Hence the range is described by:
The range of the function is all real numbers less than or equal to 9.
More can be learned about the vertex of a parabola at brainly.com/question/24737967
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Answer:
<h2>f(x) = -3x - 1</h2>Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept, (0, b)</em>
The formula of a slope:
From the graph we have two points <em>A(-1, 2)</em> and <em>B(0, -1) → b = -1</em>.
Calculate the slope:
Finally: