Consider function f. Which graph represents function f? A radical function passes through (minus 5, 1), (3, minus 1), and (6, minus 2.5) and also intercepts the x-axis at 2 units and y-axis at 0.5 units. W. The graph of radical function passes through (minus 6, 0.5), (minus 2, minus 2), and (5, minus 3) also intercepts the x-axis at minus 4 units and the y-axis at minus 2.5 units. X. The graph of radical function passes through (minus 4, minus 1), (3, 1), and (6, 2.5) also intercepts the x-axis at 2 units and the y-axis at minus 0.5 units. Y. The graph of radical function passes through (minus 6, minus 0.5), (minus 2, 2), (5, 3) also intercepts the x-axis at minus 4 units and y-axis at 2.5 units. Z. A. W B. X C. Y D. Z



Answer :

Answer:

The correct answer is B. X.

Step-by-step explanation:

To determine which graph represents the given radical function, let's first analyze the characteristics provided:

The function passes through three points: (-5, 1), (3, -1), and (6, -2.5).

It intercepts the x-axis at 2 units and the y-axis at 0.5 units.

Based on these characteristics, we can eliminate graphs W and Z since they don't satisfy the given points.

Now, let's consider the intercepts:

The function intercepts the x-axis at 2 units and the y-axis at 0.5 units.

Looking at the remaining graphs (X and Y), both of them have the correct x-intercept (2 units) and y-intercept (0.5 units).

Next, let's see which graph satisfies the given points:

Graph X passes through (-4, -1), (3, 1), and (6, 2.5).

Graph Y passes through (-6, -0.5), (-2, 2), and (5, 3).

Comparing these points with the given ones:

Graph X: (-4, -1), (3, 1), and (6, 2.5) - Matches the given points.

Graph Y: (-6, -0.5), (-2, 2), and (5, 3) - Does not match the given points.

Therefore, the correct answer is B. X.

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