Jeopardy Evaluate Features of Graphs Domain Range Piecewise

Jeopardy Evaluate! Features of Graphs Domain & Range Piecewise Functions Function, Or Nah? ? $100 $100 $200 $200 $300 $300 $400 $400 $500 $500 Final Jeopardy

1 - $100 n Given: F(x) = 2 x+3 n Evaluate F(4). n F(4) = 2(4)+3 = 8+3 = 11

1 - $200

1 - $300

1 - $400 Given: F(x) = 2 x+1 n Given: G(x) = x+6 n n Find: F(G(2)). n F(G(2)) = G(2) = 2+6 = 8, F(8) = 2(8)+1 = 16+1 = 17

1 - $500 Given: F(x) = 2 x+4 n Given: G(x) = x+2 n n Find: F(G(G(2))))). n F(G(G(2))))) = G(2) = 2+2 = 4, G(4) = 4+2 = 6, F(6) = 2(6)+4 = 12+4 = 16, G(16) = 16+2 = 18, F(18) = 2(18)+4 = 36+4 = 40

2 - $100 n DEFINE: What is the y-intercept? n The y-intercept is the point(s) on a graph where a graph crosses (“intersects”) the y-axis.

2 - $200 n Identify the X and Y Intercepts. n X-Intercept: x=-2 Y-Intercept: y=4

2 - $300 n Identify the Relative Maximum(s) and Relative Minimum(s). Relative Max @ (1, 2) and n Relative Min @ (-1, -2) n

2 - $400 n Identify an interval where the function is INCREASING and one where it is DECREASING. Increasing: (-∞, -3) U (-1, 2) U (4, ∞) n Decreasing: (-3, -1) U (2, 4) n

2 - $500 n n Identify the COORDINATE POINTS where there an Absolute Minimum and Absolute Maximum. Absolute Max @ (-4, 5) & Absolute Min @ (-1, -6)

3 - $100 n Find the Domain and Range. Domain: [0, 7] n Range: [-2, 4] n

3 - $200 n Find the Domain and Range. n Domain: [-3, 2] Range: [-2, 3]

3 - $300 n Find the Domain and Range. n Domain: {-3, 0, 2, 3} Range: {-6, 0, 6, 8}

3 - $400 n Find the Domain and Range. n Domain: All X values (-∞, ∞) Range: [-1, ∞)

3 - $500 n Find the Domain and Range. n Domain: [1, ∞) Range: (-∞, ∞)

4 - $100 n n n Given: F(x) = 2 x+3, for x>1 F(x) = 3 -x, for x<1 F(x) = 4, for x=1 If you are asked to evaluate F(2), which function would you use? 1 st, 2 nd, or 3 rd one? • 1 st One

4 - $200 n Given: F(x) = 2 x+3, for x>1 F(x) = 3 -x, for x<1 F(x) = 4, for x=1 Evaluate F(4). n F(4) = 1 st one. 2(4) + 3 = 8+3 = 11 n n

4 - $300 n Given: F(x) = 2 x+3, for x>1 F(x) = 3 -x, for x<1 F(x) = 4, for x=1 Evaluate F(1) n F(1) = 3 rd one = 4 n n

4 - $400 n Given: F(x) = 2 x+7, for x>0 F(x) = x-3, for x<0 F(x) = 0, for x=0 Evaluate F(-6). n F(-6) = 2 nd one. (-6)-3 = -9 n n

4 - $500 n n n Given: F(x) = 2 x+7, for x>0 F(x) = x-3, for x<0 F(x) = 0, for x=0 Evaluate F(2) + F(-1). F(2) = 1 st one = 2(2)+7 = 4+7 = 11 n F(-1) = 2 nd one = (-1)-3 = -4 n F(2) + F(-1) = 11 + (-4) = 7 n

5 - $100 n Function or Not? ? n Yes

5 - $200 n Function or Not? ? n No

5 - $300 n Function or Not? ? n No

5 - $400 n Function or Not? n Yes

n Function or Not? n Yes 5 - $500

Final Jeopardy n n F(-1) = 9 -(-1)^2 = 9 -1 = 8 F(5) = 9 -(5)^2 = 9 -25 = -16 F(5)-F(-1) = -16 -8 = -24 = -4 5 -(-1) 6 6