Question

Compare the three functions.

f(x) = 10x
x y
0 0
1 10
2 20
g(x) = 5x
x y
0 1
1 5
2 25
h(x) = 4x2 + 5x
x y
0 0
1 9
2 26

Select the true statement.

A.
As x approaches positive infinity, the quadratic function will exceed both the linear and exponential functions.
B.
As x approaches positive infinity, the exponential function will exceed both the linear and quadratic functions.
C.
As x approaches positive infinity, the linear function will exceed both the quadratic and exponential functions.
D.
As x approaches positive infinity, it cannot be determined which function will exceed the other two.

Answer 1

Answer:

B.

As x approaches positive infinity, the exponential function will exceed both the linear and quadratic functions. TRUE (Exponential functions increase faster than linear or quadratic)

Step-by-step explanation:

We can easily solve this problem if we plot each graph by using a graphing calculator or any plotting tool.

1st function

f(x) = 10x

2nd function

g(x) = 5^x

3rd function

h(x) = 4x^2 + 5x

Please, see attached graph.

A.

As x approaches positive infinity, the quadratic function will exceed both the linear and exponential functions. FALSE

B.

As x approaches positive infinity, the exponential function will exceed both the linear and quadratic functions. TRUE (Exponential functions increase faster than linear or quadratic)

C.

As x approaches positive infinity, the linear function will exceed both the quadratic and exponential functions.FALSE

D.

As x approaches positive infinity, it cannot be determined which function will exceed the other two.FALSE

Answer 2

Answer:

b

Step-by-step explanation:

just look up