Question

Use the image to answer the question.

A coordinate plane's axes range from negative 4 to 4, both by 1-unit increments. A dotted curve labeled g of x and a solid curve labeled f of x are plotted.
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Compare the given graphs of f(x)=2x−−√
and g(x)=2x−−√3
and determine which of the following is true.

(1 point)

When x>1
, the function g(x)=2x−−√3
is greater than f(x)=2x−−√
.

They are both decreasing on their domains.

Both graphs go through (−1,−1)
, (0,0)
, and (1,1)
.

The graphs have different domains.

Answer 1

The graphs have different domains.

Reason: g(x) is a right-shifted radical and does not begin until a larger x-value, while f(x) begins earlier (at x = 0). Thus their domains are not the same.