The graph below shows a company’s profit f(x), in dollars, depending on the price of the erasers x, in dollars, being sold by th
e company:
Part A: What do the x intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?
Part B: What is the approximate average rate of change of the graph from x=1 to x=4, and what does this rate represent?
Part A: What do the x intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?
Part B: What is the approximate average rate of change of the graph from x=1 to x=4, and what does this rate represent?
1 answer:
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The true statement is:
"The range of the function is all real numbers less than or equal to 9."
<h3>Which statements are true?</h3>
Here we have the quadratic function:
And we want to see which of the given statements are true.
The first one is:
"The domain is al real numbers less than or equal to -2"
This is false, for all quadratic functions the domain is the set of all real numbers (unless the domain is defined).
The second statement is:
" The domain of the function is all real numbers less than or equal to 9."
Also false
Third one:
" The range of the function is all real numbers less than or equal to −2"
The range of a quadratic function with a negative leading coefficient will be the set of all the values smaller than the y-value of the vertex.
In this case, the quadratic function is:
So the vertex is at:
Then the y-value of the vertex is:
So the range is the set of all real numbers less than or equal to 9.
So the above statement is false, and the final one:
"The range of the function is all real numbers less than or equal to 9."
Is the true statement.
If you want to learn more about quadratic functions:
#SPJ1