Exponential Review

The range of a function is $$-2<y\le7$$ re-write it in Interval notation

​ (a)   -2, 7​ (b)  

Plot the y-intercept of

$$f\left(x\right)=3^x-5$$

Plot the x-intercept of

$$f\left(x\right)=3^x-9$$

If $$f\left(x\right)=2^x$$ graph $$3f\left(x+2\right)-4$$

Which equation does NOT have an Asymptote?

If $$f\left(x\right)=e^x$$ is transformed to make $$g\left(x\right)=e^{\left(x+5\right)}+9$$ the transformations on the graph would be

Translated ​ (a)   units ​ (b)   and 9 units ​ (c)  

A soccer ball is dropped from 4 meters. It bounces back up 69% of the height of the previous bounce. What is the height after the 4th bounce?

If you invest $250 into a savings account your freshman year of highschool, with an annual interest rate of 6% compounded continuously, how much will be in the account when you graduate (exactly 4 years later)? Round to the nearest cent.

If you were investing $600 in an account with 3% annual interest compounded annually, and you want to pull the money out once it reaches $1,000, how long will you have to wait? Use this formula $$600\left(1+0.03\right)^t=1,000$$