Question

Given four functions, which one will have the smallest y-intercept?

f(x)

g(x)

h(x)

j(x)

Answer 1

g(x)

Explanation:

y-intercept is the y cutting point, at x = 0.

1. f(x)

This will be an exponential function that starts from 6 and moves upward exponentially. So y-intercept is 6.

2. g(x)

We can see that at x = 0, the value of the function is 2, so that is the y cutting point. So y-intercept is 2.

3. h(x)

We can clearly see from the graph that the y-cutting point is at 4. So y-intercept is 4.

4. j(x)

We can plug in x = 0 into the equation to find y intercept.

`j(x)=10(2)^x\\=10(2)^0\\=10(1)\\=10`

So y - intercept is 10.

Smallest y-intercept is that of g(x).