Consider the graph the following exponential, y = 3 (2) ^x, Is the graph increasing or decreasing? What's the y intercept? What's the x intercept?

Question

Andreas Keith

Mathematics

6 October, 20:33

Consider the graph the following exponential, y = 3 (2) ^x, Is the graph increasing or decreasing? What's the y intercept? What's the x intercept?

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Frost · Answer 1

Because the base (2) is positive and greater than 1, the function / graph is increasing. To find the y-intercept, let x = 0 and find y: y = 3 (2) ^0 = 6, so the y-intercept is (0,6). There is no x-ntercept because the graph and the function are always positive / above the x-axis.