SOLUTION: Somebody help me with this question please. Thank you!
3. Use the graph of the combined function 𝑦 = 2^𝑥 − 𝑥^2 to determine an approximate solution to the inequality
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-> SOLUTION: Somebody help me with this question please. Thank you!
3. Use the graph of the combined function 𝑦 = 2^𝑥 − 𝑥^2 to determine an approximate solution to the inequality
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Question 1162542: Somebody help me with this question please. Thank you!
3. Use the graph of the combined function 𝑦 = 2^𝑥 − 𝑥^2 to determine an approximate solution to the inequality 2^𝑥 > 𝑥^2.
The zeros of the function tell you where . The intervals where give you the intervals where .
Find the three zeros by inspection (-0.8 is close enough for the irrational one) which gives you four intervals. Pick a value that is not close to the endpoint of each interval (choose the smallest integer in the interval) and calculate the value of the function. If you get a positive result, then that interval is where . Or just do this part by inspection as well -- if the graph is above the -axis, that interval is part of the solution set of the inequality. You should end up with the union of two disjoint intervals.
John
My calculator said it, I believe it, that settles it
