Determine the type and degree of each of the following polynomial expressions.
9x^4y^9
x^4 - 3x^2 + 7x^5
19a^6b^2 + 8ab^3c - 27a^7

it is a reproduction.

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how am i supposed to answer

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1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.