The figure shows line AC and line PQ intersecting at point B. Lines A'C' and P'Q' will
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-8x + 4 > 5 - 3x
Adding 3x to both sides,
-5x + 4 > 5
Subtracting by -4 on both sides,
-5x > 1
Dividing both sides by -5,
x < - 1/5
The degree of f(x) is 4. Also the leading coefficient is 1 and it is positive
So as x approaches infinity then y approaches infinity
as x approaches -infinity then y approaches infinity
The first and fourth graph goes up and it satisfies the above . so we ignore the second and third graph.
Now we check the x intercepts of the first graph
x intercepts of first graph is -4 and 2
Plug in -4 for x in f(x) and check whether we get 0
Now plug in 2 for x and check
So -4 and 2 are the x intercepts that satisfies f(x)
Hence first option is the graph of