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Nonlinear functions SAT question

Math · Advanced Math · Easy · Answer it here, explanation included.

What is the x-intercept of the graph shown?

ExplanationShow

Choice D is correct. The x-intercept of the graph shown is the point $(x, y)$ on the graph where $y = 0$ . At $y = 0$ , the corresponding value of $x$ is $4$ . Therefore, the x-intercept of the graph shown is $(4, 0)$ .

Choice A is incorrect. This is the x-intercept of a graph in the xy-plane that intersects the x-axis at $x = - 5$ , not $x = 4$ .

Choice B is incorrect. This is the x-intercept of a graph in the xy-plane that intersects the x-axis at $x = 5$ , not $x = 4$ .

Choice C is incorrect. This is the x-intercept of a graph in the xy-plane that intersects the x-axis at $x = - 4$ , not $x = 4$ .

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