Question

function analysis
comparing shapes of functions
click for long desc
select the option that matches the graph.
option #1: the graph of the function matches $f(x)=\sqrt3{x}$.
option #2: the graph of the function matches $f(x)=\sqrt{x}$.
(1 point)

Explanation:

Step1: Test $f(x)=\sqrt{x}$ at $x=1$

$f(1)=\sqrt{1}=1$

Step2: Test $f(x)=\sqrt{x}$ at $x=4$

$f(4)=\sqrt{4}=2$

Step3: Test $f(x)=\sqrt[3]{x}$ at $x=1$

$f(1)=\sqrt[3]{1}=1$

Step4: Test $f(x)=\sqrt[3]{x}$ at $x=4$

$f(4)=\sqrt[3]{4}\approx1.587$

Answer:

Option #2: The graph of the function matches $f(x) = \sqrt{x}$.