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Warm-up Solve:

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EOCT Review Which of the following is the graph of a cubic? c

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**EOCT Review Given the graph below, which of the following are true?**

f (x) is increasing on the interval 1 < x < 3. f (x) has exactly 2 zeros from -1 ≤ x ≤ 5. III) f (x) is decreasing on the interval 0 < x < 2. IV) f (x) has a local maximum at x = 3. d I and II b) I and III c) I and IV d) I, II, and IV

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**EOCT Review Find the 25th term of the sequence 7, 11, 15, 19, 23, ...**

103 b) 104 c) d) 111 a

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**3.12 Intersection of Graphs**

Algebraically – Get all terms on one side and solve. The easiest thing to do is to plug in 1 and -1 (or 2 and -2) if you get the same y, then it’s Even. If you get the opposite y, then it’s Odd. If you get different y’s, then it’s Neither. Graphically – Graph each function separately and look for the points where they cross.

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**Ex. 1 f(x) = 2x + 5, g(x) = 3x - 2 Graphically Algebraically**

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**Ex. 2 f(x) = 2x2 - 3, g(x) = x2 – 2x Graphically Algebraically**

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The solutions for an equation are also referred to as the roots of the equation. The roots of an equation are related to the zeros of the related function.

The solutions for an equation are also referred to as the roots of the equation. The roots of an equation are related to the zeros of the related function.

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