of 25 Which of these statements is true for $ f(x) = \left( \frac{1}{10} \right)^x $?

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Question 22 of 25
Which of these statements is true for $ f(x) = \left( \frac{1}{10} \right)^x $?
A. The graph contains $ (1, 10) $
B. The domain of $ f(x) $ is $ x > 0 $
C. It is always increasing.
D. The range of $ f(x) $ is $ y > \frac{1}{10} $

SnapAndSolve AI · Accepted Answer

Answer: D. The range of $ f(x) $ is $ y > 0 $. Explanation: The function $ f(x) = \left( \frac{1}{10} \right)^x $ is an exponential decay function. The graph does not contain the point $ (1, 10) $ because $ f(1) = \frac{1}{10} $. The domain of $ f(x) $ is all real numbers, not just $ x > 0 $. The function is always decreasing, not increasing. The range of $ f(x) $ is all positive real numbers, $ y > 0 $.

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of 25 Which of these statements is true for \( f(x) = \left( \frac{1}{10} \right)^x \)?

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