<h3>
Answer: B) the function g(x) has a larger slope</h3>
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Explanation:
The slope of f(x) is 4, since the equation y = 4x+2 has slope m = 4. Compare this to y = mx+b.
The slope of g(x) is 5. Note how if we started at (0,-2) on the red line and moved up 5 and to the right 1, we arrive at (1,3) which is another point on the red line. You could use the slope formula
m = (y2-y1)/(x2-x1)
to get the same result.
Since the slope of f(x) is 4 and the slope of g(x) is 5, we see that g(x) has a larger slope. The g(x) line is steeper compared to f(x).
I’m pretty sure it looks like it’s D
Answer: 
Step-by-step explanation:
<u>Given information</u>
Point B = (-2, -4)
Reflection line: y = x
<u>Concept:</u>
When reflecting over the line y = x, the position of y and x in the original coordinate switches places.
This is because it is " y = x ", assuming that they could interchange
<u>Find the coordinate of Point B'</u>
Original (x, y) = (-2, -4)
Point B' = (x', y') = (y, x) = 
<em>Please refer to the attachment below for a graphical understanding</em>
Hope this helps!! :)
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Answer:
B.
Step-by-step explanation:
Here the best method to solve is by substituting the end values of the set in each option , otherwise it will a time consuming problem.
Now substitute x=-4 in all the options
A.
16+8-8=16>0
so out of option A and C option C is correct.
B.
16-8-8=0 which means for the values of x>-4
is less than 0
Now substitute x=2 in all the options
A.
4-4-8=-8<0 . so option A and C both are incorrect.
B.
4+4-8=0 which means for the values of x<2
is less than 0
Therefore the correct option is B