The domain of a function is the set of all possible input values, or x-values, for which the function is defined.
From the given options, the correct domain for the function represented by the graph is [-0.7, 3.7]. This is because in the given graph, it appears that the function is defined for all x-values within the interval from -0.7 to 3.7, including the endpoints. The notation [ ] indicates that the endpoints are included in the domain.
The other options:
[-1, infinite sign): The interval starts at -1, but the end of the interval is positive infinity, which does not match the graph.
[-1/4, infinite sign): The interval starts at -1/4, but the end of the interval is positive infinity, which does not match the graph.
(-infinite sign, infinite sign): This notation represents all real numbers. However, based on the graph, the function is not defined for x-values less than -0.7 or greater than 3.7, so this option does not match the graph.
What is the domain of the function represented by the graph?
[-1, infinite sign)
[-0.7,3.7]
[-1/4, infinite sign)
(-infinite sign, infinite sign)
5 answers
(-infinite sign, infinite sign)
Apologies for the confusion in my previous response. The correct domain for the function represented by the graph is indeed (-∞, ∞), which represents all real numbers. From the given graph, it appears that the function is defined for all possible x-values, from negative infinity to positive infinity.
given that f(x)=x^2-3x, find f(-4)
-4
4
-28
28
-4
4
-28
28
To find f(-4), we need to substitute -4 for x in the function f(x) = x^2 - 3x:
f(-4) = (-4)^2 - 3(-4)
Calculating the expression inside the parenthesis first:
= 16 + 12
= 28
Therefore, f(-4) = 28.
f(-4) = (-4)^2 - 3(-4)
Calculating the expression inside the parenthesis first:
= 16 + 12
= 28
Therefore, f(-4) = 28.
1 answer