Use the table to answer the question. x f(x) 0 3 1 3.6 2 4.32 3 5.18 4 ? 5 7.46 Find the missing value in the table for the exponential function f(x)=3(1.2)^x . Round your answer to two decimal places. (1 point) f(4)=

1 answer

To find the missing value \( f(4) \) using the exponential function \( f(x) = 3(1.2)^x \), we can substitute \( x = 4 \) into the function:

\[ f(4) = 3(1.2)^4 \]

First, we calculate \( (1.2)^4 \):

\[ (1.2)^4 = 1.2 \times 1.2 \times 1.2 \times 1.2 \]

Calculating this step by step:

\[ 1.2 \times 1.2 = 1.44 \]

\[ 1.44 \times 1.2 = 1.728 \]

\[ 1.728 \times 1.2 = 2.0736 \]

Now, we multiply this result by 3:

\[ f(4) = 3 \times 2.0736 = 6.2208 \]

Now rounding to two decimal places:

\[ f(4) \approx 6.22 \]

So the missing value in the table is:

\[ f(4) = 6.22 \]

Similar Questions
  1. Use the table to answer the question.Which of the following rows in the table represents a correct pairing of obligatory and
    1. answers icon 1 answer
  2. Use the table to answer the question. 1bottle 2 6 10 12 case 10 30 50 60 Simplify each ratio in the table to prove that all the
    1. answers icon 29 answers
    1. answers icon 9 answers
  3. QuestionUse the table to answer the question. x-value y-value if y=2x−5 y-value if y=x−3 0 −5 −3 1 −3 −2 2 −1 −1
    1. answers icon 1 answer
more similar questions