Which statement about the function is true?
1 answer:
Answer:
The function is negative for all real values of x where -6< x < -2
Step-by-step explanation:
Given f(x) = (x + 2)(x + 6)
The graph of the function is as shown in the attached figure.
As shown, we can deduce the following:
The function is positive for all real values of x where x > -2 and x < -6
The function is zero at x = -2 and x = -6
The function is negative for all real values of x where -6 < x <-2
Compare the observations to the given statements:
So, The true statement is The function is negative for all real values of x where -6 < x <-2
You might be interested in
Answer:
see below
Step-by-step explanation:
The square root function produces a non-negative output for a non-negative input. When its output is negated, it produces a non-positive output for a non-negative input.
The input (domain) is from 0 to infinity: [0, ∞).
The output (range) is from negative infinity to zero: (-∞, 0].
____
A graph of the function is included for your convenience.
Answer:
Step-by-step explanation:
We have:
We can use <em>common denominator</em>.
Observation:
If you have,
Then,
Using <em>distributive property</em>:
Observation:
c(a+b)=ca+cb
Finally,
The answer then is: