Which is the graph of the function f of x is equal to square root of 1 fourth x end root ?

Answer

A

Image with description A coordinate plane with x-axis labeled from 0 to 9 in increments of 1, y-axis labeled from 0 to 2 point 2 5 in increments of 0 point 2 5. A smooth curve originates from origin and passes through the points 1 comma 0 point 2 5 and 4 comma 0 point 5.

B

Image with description A coordinate plane with x-axis labeled from 0 to 9 in increments of 1, y-axis labeled from 0 to 9 in increments of 1. A smooth curve originates from origin and passes through the points 1 comma 2 and 4 comma 4.

C

Image with description A coordinate plane with x-axis labeled from 0 to 9 in increments of 1, y-axis labeled from 0 to 2 point 2 5 in increments of 0 point 2 5. A smooth curve originates from origin and passes through the points 1 comma 0 point 5 and 4 comma 1.

D

Image with description A coordinate plane with x-axis labeled from 0 to 9 in increments of 1, y-axis labeled from 0 to 9 in increments of 1. A smooth curve originates from origin and passes through the points 1 comma 4 and 4 comma 8.

Explanation

The function is f(x) = √(x/4) = √x/2. Substituting x = 1 gives f(1) = 0.5, and substituting x = 4 gives f(4) = 1. Choice C is the graph that passes through (1, 0.5) and (4, 1).

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Vertical Stretches and Shrinks of the Square Root Function — Quiz

Which is the graph of the function f of x is equal to square root of 1 fourth x end root ?

Explanation

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