# SAT Math Multiple Choice Question 915: Answer and Explanation

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**Question: 915**

**15.**

What is the maximum value of the function graphed on the coordinate plane above, overthe interval –8≤ *x* ≥ 8?

- A. 4
- B. 6
- C. 8
- D. ∞ (infinity)

**Correct Answer:** B

**Explanation:**

**B**

**Difficulty:** Medium

**Category:** Passport to Advanced Math / Functions

**Strategic Advice:** The maximum value of a function that is graphed over a given interval is the highest *y*-value of all the points on the graph in that interval. Be careful, it's easy to mistake a *relative maximum* (a hump in the graph) for the actual maximum over the entire interval.

**Getting to the Answer:** For the graph shown, the maximum occurs at the left endpoint of the graph, (-8, 6). The *y*-value of the point is 6, so (B) is correct. Note that if the domain (*x*-values) had not been restricted to -8 to 8, and the graph had continued indefinitely upward on the left side, then there would be no maximum value (i.e., the maximum would be ∞).