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Kathryn Kingham
Determine the point at which the graph of the function π(π₯) = 6^π₯ intersects the π¦-axis.
Determine the point at which the graph of the function π of π₯ equals six to the π₯ intersects the π¦-axis.
Letβs think about this for a minute. At what point does a function cross the π¦-axis? Hereβre two examples of functions crossing the π¦-axis. They both cross the π¦-axis when their π₯-value equals zero. So for our function, π of π₯ equals six to the π₯, we want to plug in zero for the π₯-value and see what happens.
In this case, we plug in zero for our π₯ and we now have the equation six to the zero power. And anything to the zero power is one. For the function π of π₯ equals six to the π₯ power, it crosses the π¦-axis when π₯ is zero and π¦ equals one. Or β in coordinate form β zero, one.
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