Answer:
A. Between 3.0 and 3.5 and between 4.0 and 4.5
Step-by-step explanation:
The zeroes of a function occur whenever a value of x returns zero. To predict where the zeroes lie, determine the interval(s) where the function crosses the x-axis. This occurs when either
goes from a negative value to a positive value or vice versa.
From
and
, the y-values go from 4.0 (positive) to -0.2 (negative), respectively. Therefore, there must be a zero in this interval.
From
and
, the y-values go from -0.8 (negative) to 0.1 (positive), respectively. Therefore, there must also be a zero in this interval.
Thus, the zeros of this function occur between 3.0 and 3.5 and between 4.0 and 4.5, leading to answer choice A.
A x.+ 2 it’s a I got it right on my quiz
False. In order to have an inverse, your function must pass the horizontal line test. The graph fails the test.
Answer:
Option c
or ![y \leq 21](https://tex.z-dn.net/?f=y%20%5Cleq%2021)
Step-by-step explanation:
The absolute value is a function that transforms any value x into a positive number.
Therefore, for the function
x> 0 for all real numbers.
Then the inequation:
has two cases
if
(i)
if
(ii)
We solve the case (i)
![y \leq 9 + 12\\y\leq21](https://tex.z-dn.net/?f=y%20%5Cleq%209%20%2B%2012%5C%5Cy%5Cleq21)
We solve the case (ii)
![-y +9 \leq 12\\-y \leq 12-9\\y \geq -3](https://tex.z-dn.net/?f=-y%20%2B9%20%5Cleq%2012%5C%5C-y%20%5Cleq%2012-9%5C%5Cy%20%5Cgeq%20-3)
Then the solution is:
or ![y \leq 21](https://tex.z-dn.net/?f=y%20%5Cleq%2021)