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Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function?



Left-most x-intercept: (
, 0)



Right-most x-intercept: (
,

Respuesta :

trishinada63

Answer:

Left-most x-intercept: (-5,0)

Right-most x-intercept: (3,0)

Step-by-step explanation:

X-intercepts are also known as roots, when y = 0.

In this function, y = 0 when x = -5 and x = 3.

The Right-most x-intercept is x = 3 and Left-most x-intercepts is [tex]x=-5[/tex]

Intercepts :

  • The intercepts of a graph are points at which the graph crosses the axes.
  • The x-intercept is the point at which the graph crosses the x-axis.
  • At this point, the y-coordinate is zero.
  • To determine the x-intercept, we set y equal to zero and solve for x.

Given function is,                    

                         [tex]f(x)=x^{2} +2x-15\\\\x^{2} +2x-15=0\\\\x^{2} +5x-3x-15=0\\\\x(x+5)-3(x+5)=0\\\\(x-3)(x+5)=0\\\\x=3,x=-5[/tex]

So that, Right-most x-intercept is x = 3

and Left-most x-intercepts x = -5

Learn more about the intercepts of the graph here:

https://brainly.com/question/26233

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