we have that
using a graph tool
see the attached figure
statements
case a) The domain is {x|x ≤ –2}-------> Is False
the domain is all real numbers---------> the interval (-∞,∞)
case b) The range is {y|y ≤ 6}.------> Is True
The range is the interval (-∞,6]
case c) The function is increasing over the interval (–∞ , –2).-----> Is True
See the attached figure
case d)The function is decreasing over the interval (−4, ∞).-----> Is False
In the interval (-4,-2) the function is increasing and in the interval (-2,∞) the function is decreasing (See the attached figure)
case e)The function has a positive y-intercept.------> Is True
The value of y-intercept is 
Answer: NO
<u>Step-by-step explanation:</u>
In order for the function to be one-to-one, it must pass the vertical line test AND the horizontal line test.
The vertical line test is where you draw a vertical line anywhere and the line will not intersect the graph more than one time. In other words, the function cannot contain a duplicate x-value.
The horizontal line test is where you draw a horizontal line anywhere and the line will not intersect the graph more than one time. In other words, the function cannot contain a duplicate y-value.
The graph provided passes the vertical line test but fails the horizontal line test. <em>One example is that there are two x-intercepts.</em>
Hello,
Step-by-step explanation:
Answer:
y - 1/2x + 7/2
Step-by-step explanation:
y = 1/2x + 1
6 = 1/2 (5) + b
6 = 5/2 + b
7/2 = b
Answer:
8
Step-by-step explanation:
24/3 = 8
