Question

algebra 2a semester online practice
complete this assessment to review what you’ve learned. it will not cou
what is the y-intercept of the function $g(x) = \sqrt3{x} + 8$? (1 point)
\bigcirc (2, 0)
\bigcirc (0, 2)
\bigcirc (8, 0)
\bigcirc (0, 8)

Explanation:

Step1: Recall y-intercept definition

The y - intercept of a function \(y = g(x)\) is the point where \(x = 0\). So we substitute \(x = 0\) into the function \(g(x)=\sqrt[3]{x}+8\).

Step2: Substitute \(x = 0\) into \(g(x)\)

When \(x = 0\), we have \(g(0)=\sqrt[3]{0}+8\). Since \(\sqrt[3]{0}=0\), then \(g(0)=0 + 8=8\).
So the y - intercept is the point \((0,8)\) because when \(x = 0\), \(y = g(0)=8\).

Answer:

D. \((0, 8)\) (assuming the last option is D, if we follow the order of options: first option \((2,0)\), second \((0,2)\), third \((8,0)\), fourth \((0,8)\))