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17 votes
What is the y-intercept of f(x) = 3^x+2?

User Gil Baggio
by
4.1k points

2 Answers

10 votes

Answer:

The y-intercept is 3, or as a point (0,3)

Explanation:

Any time you want to find a y-intercept, just let x=0. Here,

f(0) = 3^0 + 2

= 1 + 2

= 3

f(0) = 3

That's the point (0,3), where the curve crosses the y-axis.

Also, if you are studying exponential curves, the basic form of the equation (parent function)

y = a^x

has a y-intercept at 1. The +2 at the end of the equation slides the whole graph UP 2 units. So that y-intercept would then land at 3.

User Aysegul
by
4.0k points
12 votes

Answer:

0,3

Explanation:

User Yash Tewari
by
4.1k points