Find the point at which the function 𝑓(𝑥) = 12 intersects either the 𝑥 or 𝑦 axis.
Find the point at which the function 𝑓 of 𝑥 equals 12 intersects either the 𝑥- or
Our function, 𝑓 of 𝑥 equals 12, what does that mean? What does a graph of 𝑓 of 𝑥 equal 12
look like? Here’s what we’re going to do. We’re going to plug in some values of 𝑥 to our
function to see what happens.
If 𝑓 equals one in this function, what is the output? What is the solution? 12, because 𝑓 of 𝑥
always equals 12 in this function. And when the 𝑥-value is negative one, the solution is still
12. So I’ll just add some numbers to my graph here and sketch this out. So now we found two
points. 𝑓 at one equals 12; there is that point. 𝑓 at negative one also equals 12. If we plugged
in 𝑓 of 10, we still have 12.
Are you seeing a pattern here? The function 𝑓 of 𝑥 equals 12 represents a horizontal line at 12.
Now our question wants to know where does this function intersects the 𝑥- or the 𝑦-axis. We can
tell that it does not intersect the 𝑥-axis. And there is the point where it intersects the 𝑦-axis.
At point or co-ordinate zero, 12, the function 𝑓 of 𝑥 equals 12 intersects the 𝑦-axis.
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