# SAT Math Multiple Choice Question 892: Answer and Explanation

Home > SAT Test > SAT Math Multiple Choice Practice Tests

### Test Information

- Use your browser's back button to return to your test results.
- Do more SAT Math Multiple Choice Practice Tests.

**Question: 892**

**7.**

Which of the following rational functions could represent the graph shown?

- A.
- B.
- C.
- D.

**Correct Answer:** D

**Explanation:**

**D**

**Difficulty:** Easy

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

**Strategic Advice:** When matching a graph to an equation, look for key features of the graph, particularly when there is a feature that stands out.

**Getting to the Answer:** There is a "hole" in this graph (the open dot), which means that the function is not defined at a particular value of *x*, in this case *x* = 2 (the *x*-coordinate of the open dot). Think about what could cause that: A denominator that equals 0 when *x* = 2 is the correct response. Now look at the answer choices-you can eliminate A (because there is no denominator), and you can eliminate C (because the denominator is equal to 0 at *x* = 3, not *x* = 2). To choose between B and (D), simplify the functions to see which results in a horizontal line at *r(x)* = 3 (because the line is at *y* = 3). The function in B doesn't simplify at all, so skip it for now. For (D):

The equation in (D) is indeed a horizontal line at *y* = 3 with a "hole" at *x* = 2.