Question

the graph represents the number of books read during the year. which of the following would be an appropriate domain for the quadratic function graphed? (1.298, 0) (4.5, 10.25) (7.702, 0) (0, -10) (-∞, ∞) 1.298, 4.5 1.298, 7.702 1.298, 10.25 none of these

Explanation:

Step1: Understand domain context

The domain represents the number of books read, which cannot be negative, and the graph models a real-world scenario where the number of books (x-values) must result in a non-negative number of books read (since you can't read a negative number of books, we only consider where the function is non-negative, i.e., above or on the x-axis).

Step2: Identify valid x-values

The quadratic function crosses the x-axis at $x=1.298$ and $x=7.702$, and is non-negative between these two points. Outside this interval, the function is negative, which doesn't make sense for counting books read.

Step3: Match to options

The interval $[1.298, 7.702]$ includes all valid x-values where the number of books read is non-negative, fitting the real-world context.

Answer:

[1.298, 7.702]