10-3-24 - More characteristics and converting.pdf

What do you think? Give all the characteristics you can SLIDESMANIA.COM  x  −1 and x  3 The loop ALWAYS gets the compound −1  x  3...

What do you think? Give all the characteristics you can SLIDESMANIA.COM  x  −1 and x  3 The loop ALWAYS gets the compound −1  x  3 inequality. The “arms” get the separate inequalities. SLIDESMANIA.COM LT: analyze the characteristics of the quadratic  AVERAGE RATE OF CHANGE (AROC) The AROC is considered the “slope” of a curved graph. f ( x2 ) − f ( x1 ) aroc = x2 − x1 You will be given an interval for the AROC – you will evaluate the function. SLIDESMANIA.COM LT: analyze the characteristics of the quadratic  Find the Rate of change from -2  x  0 5 − ( −3 ) 8 m= = −2 − 0 −2 = −4 SLIDESMANIA.COM LT: analyze the characteristics of the quadratic  f ( x ) = 2 x + 4 x + 1 Average rate of change 2 0x2 f (2) = 2(2) 2 + 4(2) + 1 f (0) = 2(0) + 4(0) + 1 2 f (2) = 2(4) + 4(2) + 1 f (0) = 1 f (2) = 8 + 8 + 1 (0,1) f (2) = 17 17 − 1 16 (2,17) AROC = = =8 2−0 2 SLIDESMANIA.COM LT: analyze the characteristics of the quadratic  Give the characteristics and AROC over the interval [-2,0] 6−2 4 = =2 0+2 2 SLIDESMANIA.COM LT: analyze the characteristics of the quadratic  1) Quadratic function 2) Opens up 𝑓 𝑥 = 𝑥2 + 4 3) Shifts up 4 4) Y-intercept (0,4) 5) No real zeroes 6) Even Function 7) AOS x = 0 8) Vertex = (0,4) 9) Min – Value = y = 4 10) Domain – (-inf, inf) 11) Range [4,inf) 12) Dec (-inf, 0) SLIDESMANIA.COM 13) Inc (0, inf) 14) Parent function 𝑓 𝑥 = 𝑥 2