Question

Choose the function that the graph represents.

Click on the correct answer.

y = f(x) = log2X
y = f(x) = x2
y = f(x) = 2x

Answer 1

The answer is y=f(x) = log2x

Explanation:

took the test and got it right hope you guys do well !!

Answer 2

Hi there!

We can go through each given function and determine whether the graph is its representation:

y = f(x) = log₂x. The graph pictured is logarithmic as it contains a vertical asymptote (discontinuity) at x = 0.

y = f(x) = x². This equation contains a parabolic shape. This is incorrect.

y = f(x) = 2ˣ. This equation is an exponential, increasing function. This is incorrect.

Another way to check would be to use the point on the graph (1, 0), and plug the corresponding x and y values into each function.

For example:

0 = log₂(1) is correct.

0 = (1)² is incorrect.

0 = 2¹ is incorrect.