ALEKS Math Placement Test Review Questions and Verified Answers | 100% Correct | Grade A

ALEKS Math Placement Test Review Questions and Verified Answers | 100% Correct | Grade A What is the domain? - ANSWER -The x limits What is the range? - ANSWER -The y limits U represents - ANSWER -Numbers in EITHER set (Union) ⋂ represents - ANSWER -Numbers in BOTH sets (Intersection) What is the quadratic formula? - ANSWER --b±√b^2-4ac/2a When asked for the rate, should you give the rate or the rate times the time? - ANSWER -THE RATE (x-6)(x+4) < 0 - ANSWER -Where is the product of (x-6) and (x+4) less than 0? Should you graph two separate equations on the same number line when doing your work? - ANSWER -No When you take the square root of a variable, how many ANSWERs are there? - ANSWER -2 ANSWERs (negative and positive) x^a/x^b - ANSWER -x^a-b x^a times x^b = - ANSWER -x^a+b (x^a)^b - ANSWER -x^ab What should you always physically mark on inequality graphs that are getting compared before attempting to solve the problem? - ANSWER Where the graphs intersect BETC - ANSWER -divide the top leading coefficient by the bottom leading coefficient (Bottom Equals Top Coefficient HORIZONTAL ASYMPTOTE) BOB0 - ANSWER -the horizontal asymptote = 0 (Bigger On Bottom 0) BOTU - ANSWER -there is no horizontal asymptote, find slant asymptote (Bigger On Top Undefined) How do you find the slant asymptote? - ANSWER -Divide the ENTIRE numerator by the ENTIRE denominator, the slant asymptote is the quotient, ignore the remainder (might include division with variables raised to exponents) How do you find the vertical asymptote? - ANSWER -Set the denominator equal to 0 sin - ANSWER -csc cos - ANSWER -sec tan - ANSWER -cot Can a graph have more than one local maximum or minimum? - ANSWER -yes volume - ANSWER -cubed area - ANSWER -squared perimeter/ length - ANSWER -no power How do you find the vertex of a parabola? - ANSWER -take the derivative (slope) and set it equal to 0 d/dx (x^a) - ANSWER -ax^a-1 antiderivative (x^a) - ANSWER -(x^a+1)/a+1 circumference - ANSWER -2πr area of a circle - ANSWER -πr² Translate this equation to the right 3 and up 4: f(x)=1/2x^2 - ANSWER -(1/2(x-3)^2)+4 If a question asks for all real zeroes should you include imaginary numbers? - ANSWER -no In the functions (f + g)(x), (f-g)(1), (f・g)(x), (f/g)(2) etc. is the x or the coefficient in the second parentheses being multiplied by the solution of f and g? - ANSWER -No, x is the input for the combined functions (just like it would be in single functions like f(x)) y=af(x) - ANSWER -multiply y coordinate by a