Domain of Increase: Find Growing Intervals of y=2x²+16x-18

Find the domain of increase of the function:

y=2x2+16x−18 y=2x^2+16x-18

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Step-by-step video solution

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00:00 Find the domains of increase of the function
00:04 We'll use the formula to find the X value at the vertex
00:08 Let's identify the trinomial coefficients
00:13 We'll substitute appropriate values according to the given data and solve for X
00:20 This is the X value at the vertex point
00:25 Coefficient A is positive, therefore the parabola has a minimum point
00:31 From the graph, we'll deduce the domains of increase of the function
00:38 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Find the domain of increase of the function:

y=2x2+16x−18 y=2x^2+16x-18

3

Final Answer

x>−9 x > -9

Practice Quiz

Test your knowledge with interactive questions

Note that the graph of the function below does not intersect the x-axis

Moreover the parabola's vertex is A

Identify the interval where the function is increasing:

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