Answer:
1) y > x² + 4x - 5, y > x + 5
2) Rational
Step-by-step explanation:
For a parabola, if the shade is inside the curve then the value of y will be greater or equal to:
For a line, if the shade is above it then the value of y will be greater or equal to:
Therefore, since parabola doesn't have solid curve (--- graph) then the inequality is ">"
Therefore, the inequality for parabola is y > x² + 4x - 5
For a line, it does not have solid graph so the inequality is ">"
Therefore, the inequality for line is y > x + 5
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The graph of function describes the shape of rational function. It cannot be exponential as exponential only has one curve. It cannot be logarithm for same reason as exponential. It cannot be polynomial as polynomial is continuous function but the graph is discontinuous at specific point x = 0.
That being said, all choices except rational are all continuous function by default but rational function isn't and since the graph is discontinuous then we can say that it's rational function.