Use a graphing calculator to approximate the x -intercepts of the graph of the function $y = x ^ { 2 } + 2 x - 5$ . Round your answer to two decimal places wherever applicable.
A) $( 5,0 ) , ( - 5,0 )$
B) $( 0,3.45 ) , ( 0 , - 1.45 )$
C) $( 0,1.45 ) , ( 0 , - 3.45 )$
D) $( 1.45,0 ) , ( - 3.45,0 )$
E) $( 3.45,0 ) , ( - 1.45,0 )$

Question

Quizplus · Accepted Answer

The x-intercepts of a function are the points where the graph of the function crosses the x-axis, which means the y-value is 0. To find the x-intercepts of the given quadratic function $y = x^2 + 2x - 5$, we set $y = 0$ and solve for $x$. Using a graphing calculator or solving the quadratic equation by any method, we find the roots to be approximately $x = 1.45$ and $x = -3.45$, which correspond to the points $(1.45, 0)$ and $(-3.45, 0)$, making option D correct.

Use a Graphing Calculator to Approximate the X -Intercepts of the Graph