Graph y = 1 - x 2 and y = e -x on the same set of coordinate axes. Use the graph to find the positive solution of the equation 1 - x 2 = e -x to the nearest tenth. 10 Points ple…

Question

asked Sep 6, 2020 178k views

1 Answer

JPWilson · Answer 1 · 2020-09-10T21:05:19+0000

Answer:

(0, 1)

(7.1, 0.49)

Explanation:

The graph of the function is attached below.

We have an exponential function:

$y = e ^ {- x}$

And we have a quadratic function:

y = 1-x ^ 2

To find the solution to:

$1-x ^ 2 = e ^ {- x}$

we must look in the graph for the values of x for which both curves are intercepted, these values are:

$x = 0\\x = 7.1$

Then the solution are the following ordered pairs:

(0, 1)

(7.1, 0.49)