# ALGEBRA PRACTICE TEST

May 29th, 2015
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I. Determine if the following are functions. Find domain and range 1. Function: Yes Domain: (0, ∞) Range: (0, ∞)

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I. Determine if the following are functions. Find domain and range1. Function: YesDomain: (0, )Range: (0, )2. Function: NoDomain: NilRange: Nil3. Function: YesDomain: Range:II. Graph the following and state the domain and rage:4. y=2x2-5Domain : R ( all real numbers)Range: {yR: y-5}5. y=-x2+1Domain : R ( all real numbers)Range: {yR: y1}III. Use f(x)=3x2-4x+1 and g(x)=2x-1 to find the following6. f(0)=3*02-4*0+1=17. g(0)=2*0-1=-18. f(-4)=3*(-4)2-4*(-4)+1=3*16+4*4+1=659. f(1)=3*12-4*1+1=3-4+1=010. f(-x)=3*(-x)2-4*(-x)+1=3x2+4x+111. f(a+b)=3*(a+b)2-4*(a+b)+1=3*(a2+2ab+b2)-4a-4b+1=3a2+6ab+3b2-4a-4b+112. f(x)+g(x)=3x2-4x+1+2x-1=3x2-2x13. f(x)-g(x)=3x2-4x+1-2x+1=3x2-6x+214. f(x)/g(x)=(3x2-4x+1)/(2x-1)=((x-1)(3x-1))/(2x-1)IV. Find the slope of the following pairs of points15. m=(-1-5)/(1-(-3))=-6/4=-3/216. m=(-4-7)/(-3-2)=-11/-517. m=(-2-7)/(3-3)=-9/0 undefined18. m=(5-5)/(-2-1)=0/-3=0V. Graph the following equations and state the x and y intercepts19. x=4Therefore, the x-intercept is ( 4, 0 ) and the y-intercept is ( 0, 0).20. y=-2Therefore, the x-intercept is (0, -2 ) and the y-intercept is ( 0, 0).21. y=3x-1Therefore, the x-intercept is (1/3, 0) and the y-intercept is ( 0, -1).22. 4x-3y=12-3y=-4x+123y=4x-12y=(4/3)x-4Therefore, the x-intercept is (3, 0) and the y-intercept is (0, -4).23. The linear equation with slope of 2 and passes through (1, -3)y-(-3)=2(x-1)y+3=2x-2y=2x-2-3y=2x-524. The linear equatio

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