Approximate,to three decimal places,the x-value of the point of intersection of the graphs of f(x)and g(x).Round your answer to three decimal places.

A) 0.572
B) 0.517
C) 0.562
D) 0.567
E) 0.617

Question

Approximate,to three decimal places,the x-value of the point of intersection of the graphs of f(x)and g(x).Round your answer to three decimal places. ​   ​
​  ​
A) ​0.572 
B) ​0.517 
C) ​0.562 
D) ​0.567 
E) ​0.617

Quizplus · Accepted Answer

To find the approximate x-value of the point of intersection, we need to solve the equation f(x) = g(x). From the graphs, we can see that this occurs at around x = 0.567.

We can also use the fact that f(x) is an increasing function and g(x) is a decreasing function, so they must intersect at exactly one point. By visually estimating the midpoint between the two points where the graphs cross the x-axis, we can get a rough estimate that x is around 0.567.

Out of the given choices, D is the closest to this estimate, rounded to three decimal places.

Approximate,to Three Decimal Places,the X-Value of the Point of Intersection