Question

Graph the functions and approximate an x-value in which the quadratic function exceeds the exponential function. y = 4x y = 7x2 + 4x - 2

x = -0.5
x = 0
x = 0.5
x = 2

Answer 1

I believe that it is 0.5

Answer 2

Option 3th is correct

x = 0.5

Explanation:

The given functions are:

Function 1:
`y = 4^x`

Function 2:
`y=7x^2+4x-2`

The values of function at x = -0.5, 0, 0.5 and 2 are as follow:

x values Function 1 Function 2

-0.53 0.5 -2.25

0 1 -2

0.53 2.086 2.0863

2 16 34

From the above table. It is clear that the quadratic function
`y=7x^2+4x-2` exceeds the exponential function
`y = 4^x` at x = 0.53

Therefore, the approximate x-value in which the quadratic function exceeds the exponential function at x = 0.5