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Quadratic vs Exponential Functions
X
- 1000000x y-2
0
1
0
1
1000000
2
2
4000000
4
3
9000000
8
4
16
5
32
16000000
25000000
36000000
49000000
6
64
7
128
Question:
The table shows the behavior of a quadratic and an exponential function near the origin
A. Which function is growing more rapidly?
B. Between which X-values does the table indicate that the functions graphs have crossed?
C. Will the functions graphs ever intersect again? Can you prove this?
1)

Can Someone Please Help I Really Need The Answer I Give Anyone A Brainliest Quadratic Vs Exponential Functions X 1000000x Y2 0 1 0 1 1000000 2 2 4000000 4 3 900 class=

Sagot :

Cairdeidn

Answer:

A) The first function (the quadratic one) is growing more rapidly.

B) Between x=0 and x=1.

C) We can assume that they don't intersect again.

Step-by-step explanation:

A)

The first function (the quadratic one) is growing more rapidly. We can see this because the difference between its y values is so much greater than the difference between the y values for the exponential function.

B)

Between x=0 and x=1. When functions intersect, their y and x values are equal. The y-values are equal at some point over x=0 and x=1 because they both cross over the same range (y=1 and y=2)

C)

We can assume that they don't intersect again because the y-values for the exponential equation will never reach the corresponding values for the quadratic equation; it simply isn't growing rapidly enough.

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