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AssignmentMultiple Select

Unit Test

Question 1 • (2022) Algebra II B: SS

Which of the statements about the graph of the function y = 2x are true? Check all of the boxes that apply.

Answer
A
The domain is all real numbers x because the exponent of 2 can be any real number
B
When the x-values increases by 1 unit, the y-value multiplies by 2.
C
The y-intercept is (0, 1).
D
The graph never goes below the x-axis because powers of 2 are never negative.
E
The range is all real numbers.

Explanation

For y = 2^x, any real number can be used as the exponent, so the domain is all real numbers. Increasing x by 1 multiplies the output by 2, and at x = 0 the output is 2^0 = 1, giving the y-intercept (0, 1). Powers of 2 are always positive, so the graph stays above the x-axis; the range is positive real numbers, not all real numbers, making statement E false.

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