Answer: D
Explanation:
David - f(x) Ronald - g(x)
f(x) =
![\sqrt[3]{x-1}](https://img.qammunity.org/2019/formulas/mathematics/high-school/2dikjub77pmtm19pzra9z2cgav68p6r4bk.png)
f(2) =
![\sqrt[3]{2-1}](https://img.qammunity.org/2019/formulas/mathematics/high-school/jgna434wzf7n9o0chnecod86jcn1w2ec8v.png)
= 1.00 1.26
f(4) =
![\sqrt[3]{4-1}](https://img.qammunity.org/2019/formulas/mathematics/high-school/drb02aoh2r9t0rxvtdi30ozz4v4k5a8uop.png)
= 1.44 1.59
f(6) =
![\sqrt[3]{6-1}](https://img.qammunity.org/2019/formulas/mathematics/high-school/9kmy2f6avpli3kef9sj0ext0shec96gsw6.png)
= 1.71 1.82
f(10) =
![\sqrt[3]{10-1}](https://img.qammunity.org/2019/formulas/mathematics/high-school/wwzxpuzv1ib67zv0pl491cql0wycdpxun1.png)
= 2.08 2.15
The side length for Ronald's box is greater than David's.
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Answer: (0, 4)
Explanation:
f(x) is an absolute value graph with a vertex at (0, 3).
- f(x) is increasing from 0 to infinity ⇒ (0, ∞)
g(x) is a parabola reflected across the x-axis with a vertex at (4, 12).
- g(x) is increasing from negative infinity to 4 ⇒ (-∞, 4)
Together: f(x) and g(x) are both increasing from 0 to 4 ⇒ (0, 4)
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0 o---------------------o 4