a. The graph is concave up in the interval 0 ≤ x ≤ +∞
b. The graph is concave down in the interval -∞ ≤ x ≤ 0
To answer the question, we need to know what intervals are
<h3>What are intervals?</h3>
Intervals are range of values in which a function is valid. It can either be the range of values of input or output of the function.
<h3>a. Interval where the graph is concave up</h3>
From the graph, we see that the function is concave up in the interval 0 ≤ x ≤ +∞
So, the graph is concave up in the interval 0 ≤ x ≤ +∞
<h3>b. Interval where the graph is concave down</h3>
From the graph, we see that the function is concave down in the interval -∞ ≤ x ≤ 0
So, the graph is concave down in the interval -∞ ≤ x ≤ 0
Learn more about intervals here:
brainly.com/question/26348388
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