Question

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 please help I need this to graduate :(

Answer 1

Answer:

(0, 1)

(7.1, 0.49)

Step-by-step 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)