# 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 ?

Consider that algebraic modeling For the function $f\left(x\right)=34{\left(1.024\right)}^{x}$
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 ?
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FieniChoonin
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 $=100\left(b-1\right)\mathrm{%}$
So, the growth factor $=1.024$
and growth rate $=100\left(1.024-1\right)\mathrm{%}=100\left(0.024\right)\mathrm{%}=2.4\mathrm{%}$
The finally:
1) The b is greater than 1
2) The growth rate $=2.4\mathrm{%}$
3) The growth factor $=1.024$