Questions: The figure above shows the graph of a function k. Which of the following statements about k is correct? (A) k is increasing and the graph of k is concave up. (B) k is increasing and the graph of k is concave down. (C) k is decreasing and the graph of k is concave up. (D) k is decreasing and the graph of k is concave down.

The figure above shows the graph of a function k. Which of the following statements about k is correct?
(A) k is increasing and the graph of k is concave up.
(B) k is increasing and the graph of k is concave down.
(C) k is decreasing and the graph of k is concave up.
(D) k is decreasing and the graph of k is concave down.
Transcript text: 9. The figure above shows the graph of a function $k$. Which of the following statements about $k$ is correct? (A) $k$ is increasing and the graph of $k$ is concave up. (B) $k$ is increasing and the graph of $k$ is concave down. (C) $k$ is decreasing and the graph of $k$ is concave up. (D) $k$ is decreasing and the graph of $k$ is concave down.
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Solution

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Solution Steps

Step 1: Analyze the graph for increasing or decreasing

Reading the graph of k from left to right, the function values are decreasing.

Step 2: Analyze the graph for concavity

The graph of k opens downwards, so it's concave down.

Final Answer: The correct option is (D): k is decreasing and the graph of k is concave down.

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