Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
6. Exponential Functions
Continue to next subchapter

Exercise 47 Page 458

Evaluate each function in function notation for x=7 and compare the outcomes.

f(x)=100x^2

Practice makes perfect
We want to determine which of the functions has the greater value for the given value of x. First function:& f(x)=2^x Second function:& f(x)=100x^2 Value:& x=10 To do so, we will evaluate each function in function notation for x=7 and compare the outcomes. Let's start by substituting 10 for x in the rule for the first function.
f(x)=2^x
f( 10)=2^(10)
f(10)=1024
Let's now calculate the outcome of the second function when x=10.
f(x)=100x^2
f( 10)=100( 10)^2
f(7)=100*100
f(7)=10 000
Finally, let's compare the obtained results.
f(x)=2^x,
for x=10
f(x)=100x^2,
for x=10
1024 10 000

The function with the greater value when x=10 is f(x)=100x^2.