Answer:
(a) The slope of f(x) is greater than the slope of g(x)
(b) f(x) has a greater y intercept
Step-by-step explanation:
Given


Solving (a): Compare the slopes
The slope (m) of f(x) is calculated as;

This gives:


Substitute values for f(0) and f(1)



The slope of g(x) can be gotten using the following comparison


So:



Solving (b): Compare the y intercept
y intercept is when 
From the table of f(x)

From the equation of g(x)



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The final solution is all the values that make <span><span><span><span><span>(<span>x+4</span>)</span><span>(<span>x<span>−4</span></span>)</span></span><span>(<span><span>x2</span>+4</span>)</span></span>=0</span><span><span><span><span>x+4</span><span>x<span>-4</span></span></span><span><span>x2</span>+4</span></span>=0</span></span> true.<span>x=<span>−4</span>,4,<span>2i</span>,<span><span>−2</span><span>i</span></span></span>









x = -1 makes the lengths of segments PQ and PR equal zero.
That is not possible, so the solution x = -1 is discarded.
x = 8
PS = 3x + 3 + 21
PS = 3x + 24
PS = 3(8) + 24
PS = 24 + 24
PS = 48
7 because the square root of 49 is 7, so its approximately 7.