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QuizMultiple Choice

Monomial Functions — Quiz

Question 1 • Algebra 2 with Probability

Which statement describes the function y is equal to A x to the n th power when A is equal to 1 and n is even?

Answer
A
The graph opens down.
B
The graph is symmetric about the x -axis.
C
The graph passes through open paren negative 1 comma 1 close paren , open paren 0 comma 0 close paren , and open paren 1 comma 1 close paren .
D
The graph has more than one x -intercept.

Explanation

With A = 1, the function is y = x^n. Since n is even, (-1)^n = 1, and 1^n = 1; also, 0^n = 0. So the graph passes through (-1, 1), (0, 0), and (1, 1), as choice C states.

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