MAT151 Quiz 1 PDF
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Uploaded by AdvancedPreRaphaelites
Mesa Community College
John Uhegun
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Summary
This document appears to be a mathematics quiz focusing on functions, algebra and transformations. The quiz appears to be covering topics like average rate of change, transformations of functions, circle equations, x- and y-intercepts and other algebra. It is a student's work or notes/solutions to a problem set.
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MAT151 QUIZ ONE Name J hn Wine WM5.20)0r 7:10...
MAT151 QUIZ ONE Name J hn Wine WM5.20)0r 7:10 pm Date Part A. Average Rate of ChangeAROC Computethe AROCon the giveninterval [x1,X2]and createthe equationof the secantline, y = mx +b, connecting the two points. Given: f(x)=x?+1 fromx:=-2 tox. =0 AROC = =a, sie we Show work here. ieoo / Equation ofthe secant line y=“dat\ “ igo Ore SR X24% =H ( inal A) Write the functio whose graph is the graph of y = x3 with the otf — 264 transformation: units and shifted up 7 units. rtically stretched by a factor of2,shifted right 4 \j; nt f(x) = or g y es B) State the domain and range. D= R= q a? AG x4 ae. SHOW WORK FOR CREDIT.. he &,Cvshn Py NOGQ London¢ PlugiW «ee0. ir dWr Part C. 0 Ha 3(0°-4) +797 1. What isthecenter ofthecircle? (x-3)? +(y+1)°=25 Center (h,k)= 5 si 2. Find thex-axis intercept andy-axis intercept. Handsketch agraph. Connect'the intercepts to create a straight line. Determine the slope of the line and the equation of the line in slope- intercept form. SHOW ALL WORK. Equation: = Sy we. ee =30 SQ=3y ==f) zy -5( =30 ee: y ee 3 i, (| y=Sf Cm | x A we Z ae —ouxX< |S ~BY eL+30 Part F. Function Operations Given: f(x)=x?-2x and B(x)= 5+ 6x. Circleor box your answers. | - (sregord Anis ste oe 1Mjust a) hay (f+g)(x) || | \ Checking doobie } er b) (g—f)(x) | LY XE 42% Part H. KGXS er Determinethe y-axisinterceptandthe roots/zeros,Show work, 1)f(x) =x?- 10x +25 lo,6) CIs Pada V4 Vy ~axis2 ~ (B)es| &-5=0 xX-5>0