Exponential Functions & Geometric Sequences

Describe this function.

What is the "a" or y-intercept of the equation.

$$y\ =\ 5\left(\frac{1}{2}\right)^x$$

What is the Growth Factor of the equation.

$$y\ =\ 5\left(3\right)^x$$

What is the "a" or y-intercept of the function?

Match the following

Describe the function. $$y\ =\ 5^x$$

Describe the function. $$y\ =\ 2\left(\frac{1}{2}\right)^x$$

In March, 2020, before the Covid-19 lockdown, 1,200,000 Texans had applied for unemployment. During the COVID-19 lockdown, the number of people applying for unemployment increased by 4% each month. What exponential function can be used to find the number of people applying for unemployment after x months of COVID-19 lockdown?​ (a)  

Which of the following exponential functions represents an initial value of 1450 and a decay of 18% for x years?