Question

For the function `f(x)= 7e^x` how do you find the following function values: f(0)?

Answer 1

f(0) = 7

Explanation:

`f(x)=7e^xrArrf(0)=7e^0`

`color(orange)"Reminder" color(red)(|bar(ul(color(white)(a/a)color(black)(e^0=1)color(white)(a/a)|)))`

`rArrf(0)=7e^0=7xx1=7`

`f(x)=7e^x" is an" color(blue)" exponential function"`

The 'basic' function `f(x)=e^x` crosses the y-axis at (0 ,1)

Hence `f(x)=7e^x" cosses the y-axis at" (0,7)`

graph{7e^x [-20, 20, -10, 10]}