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

Answer:

Option 3th is correct

x = 0.5

Step-by-step 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