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.

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

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^