Consider that algebraic modeling For the function displaystyle f{{left({x}right)}}={34}{left({1.024}right)}^{x} 1) The function is an increasing exponential function because it is the form displaystyle{y}={a}{b}^{x} and ? 2) The growth rate is ? 3) Thrawth factor is ?

Question

Consider that algebraic modeling For the function

f (x) = 34 {(1.024)}^{x}

1) The function is an increasing exponential function because it is the form

y = a b^{x}

and ?
2) The growth rate is ?
3) Thrawth factor is ?

Answer 1

And exponential function

y = a b^{x}

is increasing if b is greater than 1 and decreasing if b is less than 1.
Here

b = 1.024

The function is an increasing exponential function because it is in the form

y = a b^{x}

and b is greater than 1.
b is called the growth factor and growth rate

= 100 (b - 1) %

So, the growth factor

= 1.024

and growth rate

= 100 (1.024 - 1) % = 100 (0.024) % = 2.4 %

The finally:
1) The b is greater than 1
2) The growth rate

= 2.4 %

3) The growth factor

= 1.024

Expert Answer