Question

Which statement best describes the growth rates of the functions below?

y = 42
y=42
0
0
-
2
3
4
0
4
16
38
B4
2
3
4
16
64
256
The quadratic function grows faster than the exponential function over the entire interval: 0<x<4.
The exponential function grows faster than the quadratic function over the entire interval: 0<x<4.
The exponential function grows faster than the quadratic function over only one interval: 2<x<3.
The exponential function grows faster than the quadratic function over two intervals; 2<x<4​

Answer 1

Step-by-step explanation:Answer:

D: The exponential function grows faster than the quadratic function over two intervals

Explanation:

From the table

The value of y is same for both functions

For first graph y=4x^2

When x= 3, y = 36

when x= 4 , y = 64

for second graph y = 4^x

When x= 3, y = 64

when x= 4 , y = 256

we can see that second graph increases faster over intervals 2 to 3 and 3 to 4

Second graph is exponential function

So, The exponential function grows faster than the quadratic function over two intervals