A farmer can spend no more than $4,000 on fertilizer and seeds. The fertilizer costs $2 per pound and seeds cost $20 per pound.
To summarize the situation, the farmer writes the inequality: 2f + 20s ≤ 4,000, where f is the number of pounds of fertilizer and s is the number of pounds of seeds. Which graph's shaded region shows the possible combinations of fertilizer and seeds the farmer can buy?
2 answers:
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The domain of the function is D ∈ R or (-∞, ∞) and the range of the function is R ∈ (591.39, ∞)
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = -4.92x² + 17.96x + 575
The above function is a quadratic function and we know,
The quadratic function domain is all real numbers.
The domain of the function is all real numbers or
D ∈ R or (-∞, ∞)
The range:
From the graph of a function:
The maximum value of the graph:
f(1.825) = 591.39
So the range of the function:
R ∈ (591.39, ∞)
Thus, the domain of the function is D ∈ R or (-∞, ∞) and the range of the function is R ∈ (591.39, ∞)
Learn more about the function here:
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