Lesson 3: Graphing Radical Functions — Practice Questions

1. 1. For the function $G(x) = \sqrt{5x - 1}$, find $G(2)$.

   • A. 3
   • B. 4
   • C. $\sqrt{10}$
   • D. not a real number

2. 2. For the function $f(x) = \sqrt[4]{3x^3}$, find $f(3)$. The value is ___.

3. 3. For the function $F(x) = \sqrt{3 - 2x}$, find $F(-11)$. The value is ___.

4. 4. For the function $g(x) = \sqrt[4]{4 - 4x}$, find $g(1)$. The value is ___.

5. 5. For the function $F(x) = \sqrt{8 - 4x}$, find $F(1)$.

   • A. 2
   • B. 4
   • C. 1
   • D. not a real number

6. 6. For the function $f(x) = \sqrt[4]{2x^3}$, find $f(0)$. The value is ___.

7. 7. For the function $g(x) = \sqrt{3x + 1}$, find $g(5)$. The value is ___.

8. 8. For the function $G(x) = \sqrt{4x + 1}$, find $G(11)$.

   • A. $3\sqrt{5}$
   • B. $\sqrt{45}$
   • C. 7
   • D. $6\sqrt{5}$

9. 9. For the function $h(x) = \sqrt[3]{x^2 + 4}$, find $h(-2)$. The value is ___.

10. 10. For the function $g(x) = \sqrt[4]{8 - 4x}$, find $g(2)$. The value is ___.