Question

The function(x) = -a^x +4 will never cross the x-axis if a is positive.

True or false

Answer 1

B. False

Explanation:

You want to know if the graph of f(x) = -a^x +4 will cross the x-axis when a > 0.

Translation

The +4 at the end of the function definition translates the horizontal asymptote to y = +4. When a > 0, the graph will extend below that asymptote, so will cross the x-axis.

False: ... will never cross the x-axis if a > 0, choice B.

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Additional comment

The attachment shows a graph with a = 0.8, a positive number. You can see that it crosses the x-axis.

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