Question

What is the y-intercept of the function f(x) = -3x

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Answer 1

see the explanation

Explanation:

we know that

The y-intercept is the value of the function when the value of x is equal to zero. Also is called the initial value of the function

I will analyze two cases

Part 1) we have

`f(x)=-3x`

so

For x=0

substitute

`f(0)=-3(0)=0`

therefore

The y-intercept is the point (0,0)

Part 2) we have

`f(x)=-3^x`

so

For x=0

substitute

`f(0)=-3^0=-1`

therefore

The y-intercept is the point (0,-1)