CLEP COLLEGE ALGEBRA (ACTUAL / ) QUESTIONS
AND VERIFIED CORRECT ANSWERS WITH SOLUTIONS
find the additive inverse of (expression) ----Answers----solve
the equation for y: y + (expression) = 0
it is the negative of the expression
raise expression to a negative number ----Answers----1/ (expression)^n
raise to a fractional power ----Answers----expression^1/n = n rt (expression)
to determine whether a graph is a function ----Answers---- vertical line test
determine whether a graph matches that of an algebraic function ----Answers----plug x-values into the function to find the value of y, and determine if those points are on the graph
given y=f(x) find the domain ----Answers----domain will be infinity, infinity with 3 exceptions
- any value of x that makes the denominator 0
- any value of x that makes an even root of a negative number 1 / 2
- any value of x that makes a term into the log of zero or the
log of a negative number
graph a line y=mx+b ----Answers----chose two values for x and find the values of y draw a line between both points
determine whether a graph is odd, even, or neither ---- Answers----even- if the graph is symmetrical with respect to y-axis odd- if the graph is symmetrical with respect to the origin (I and III and II and IV are mirror images)
given f(x) describe transformations ----Answers----f(x) + a is a units up f(x) - a is a units down f(x-a) is a units to the right f(x+a) is a units to the left -f(x) reflects across x-axis
given a graph, determine how many roots ----Answers---- how many times the graph touches/crosses the x-axis
given a polynomial of degree n find the max and min # of roots ----Answers----max number of real roots is n if n is even, the min is 0 if n is odd the min is 1
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