Outside the high school program / Affine function 7 exercises (100% corrected)

a
x-4-3-2-101234y-2-112(d1(d2(d3 x-4-3-2-101234y-3-2-1123(d1 x-4-3-2-101234y-2-11234(d4(d1(d3(d2(d5 x-4-3-2-101234y-1123(d2(d1(d3 1. Equation reduced by algebraic calculation and graphical reading E.1841 Three straight lines ( d 1 ) , ( d 2 ) , ( d 3 ) representing the functions f , g , h respectively, are shown in the reference frame below : We will determine : by graphical reading, the directing coefficient of each of the functions. then, by algebraic resolution, the y-intercept of each of these functions. in order to obtain the algebraic expressions of the functions f , g , h admitting respectively as representative lines ( d 1 ) , ( d 2 ) and ( d 3 ) . E.491 Consider the coordinate system below. The line ( d 1 ) represents the affine function f : 1 Determine the expression of the function f graphically. 2 a Draw the line ( d 2 ) passing through points A ( 2 ; 1) and B (3 ; 2) . b Find the expression of the linear function g whose graph is the line ( d 2 ) . E.4702 In the reference frame below, are given the straight lines ( d 1 ) , ( d 2 ) , ( d 3 ) , ( d 4 ) , ( d 5 ) representa-tive of the functions f , g , h , j , k : 1 Graphically, determine the directing coefficient of each of the functions. 2 Algebraically, determine the algebraic expression of each of these functions. E.4733 In the reference frame below, are rep-resented the three straight lines ( d 1 ) , ( d 2 ) , ( d 3 ) respectively representative of the functions f , g , h : 1 Graphically, determine the algebraic expressions of the functions f and g . 2 a Graphically, determine the directing coefficient of the affine function h . b Deduce, the algebraic expression of the function h . 2. Unclassified financial years E.1871 In the reference frame below, the straight lines C f , C g are given, C h respectively representative of the functions f , g and h : https://chingmath.fr chapExoCorrec/1841 sacados/1841 x-4-3-2-101234y-2-112(d1(d2(d3 chapExoCorrec/491 sacados/491 x-4-3-2-101234y-3-2-1123(d1 chapExoCorrec/4702 sacados/4702 x-4-3-2-101234y-2-11234(d4(d1(d3(d2(d5 chapExoCorrec/4733 sacados/4733 x-4-3-2-101234y-1123(d2(d1(d3 chapExoCorrec/1871 sacados/1871
x-6-5-4-3-2-1012y-3-2-112CfChCg x-6-5-4-3-2-1012y-3-2-112CgChCf x-6-5-4-3-2-10123456y-4-3-2-1123456(d1(d2(d3(d4(d5 Determine the algebraic expressions of these three functions. E.2830 In the reference frame below, the three straight lines C f , C g are given, C h representative respectively of the affine functions f , g , h . Determine the algebraic expressions of these three functions. E.547 Five straight lines are shown in the frame below : The straight lines ( d 1 ) , ( d 2 ) , ( d 3 ) , ( d 4 ) , ( d 5 ) are respectively the representations of the affine functions f , g , h , j , k . Determine the algebraic expression of each of these lines. https://chingmath.fr x-6-5-4-3-2-1012y-3-2-112CfChCg chapExoCorrec/2830 sacados/2830 x-6-5-4-3-2-1012y-3-2-112CgChCf chapExoCorrec/547 sacados/547 x-6-5-4-3-2-10123456y-4-3-2-1123456(d1(d2(d3(d4(d5