the graph shows the functions f(x) = 1/2x^2 and g(x) = e^x. which of the following is a solution to 1/2x^2 =…

the graph shows the functions f(x) = 1/2x^2 and g(x) = e^x. which of the following is a solution to 1/2x^2 = e^x? choose the best estimate. x = -0.9 x = -0.4 x = 0 x = 1

the graph shows the functions f(x) = 1/2x^2 and g(x) = e^x. which of the following is a solution to 1/2x^2 = e^x? choose the best estimate. x = -0.9 x = -0.4 x = 0 x = 1

Answer

Answer:

x = -0.9

Explanation:

Step1: Analyze the graph intersection

The solutions to $\frac{1}{2}x^{2}=e^{x}$ are the x - values of the intersection points of $y = \frac{1}{2}x^{2}$ and $y = e^{x}$.

Step2: Estimate from the graph

By observing the graph, the left - hand side intersection point has an x - value close to $x=-0.9$. The other options ($x = - 0.4,x = 0,x = 1$) do not match the intersection points as well as $x=-0.9$ does.