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Harrizon [31]
3 years ago
9

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

Mathematics
2 answers:
Margarita [4]3 years ago
6 0

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

lyudmila [28]3 years ago
4 0
I believe that it is 0.5
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