Which statements are true? Select all that apply.
1 answer:
Answer:
Two of these statements are true.
The function equals x^2 over the interval −∞ < x ≤ 0.
The function equals √x over the interval 0 ≤ x < ∞.
Step-by-step explanation:
If we look at the parent function of we see that
function looks like a U shaped graph and in your graph we see it is the same as your graph from the interval (-∞,0).
If we look at the parent function of we see that the
function looks like your graph from the interval (0,∞).
Suggestion:
I suggest memorizing every graph of parent functions that is introduced to you in math. This can help you visually with many problems in mathematics, and help you conceptualize material better. I also suggest looking up the definition of every word that may be unfamiliar to you like "interval" and "parent function". This will help you understand more advanced math notations and vocabulary in the future.
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Answer: D.The domain and range of the function are the same.
Step-by-step explanation: Given function f(x)=-√-x.
The given function is a square root function and we have minus sign in front of x inside square root.
A square root always defined for positive values or 0.
In order to get a positive number or 0 inside square root, let us solve the inequality:
On dividing both sides by -1, the inequality sign would get flip and we get
<h3>Domain:We can see that we have a negative sign in front of square root. So, the value of f(x) would be always a negative number or 0.
<h3>Therefore, range would also be :