ALGEBRA WITH MRS. DEPUY & MS. OSGOOD - Home



Name: ___________________________________ Unit 2/3 Review Sheet FunctionsFunction – one output for each inputWE MIGHT NEED TO DECIDE _ IS IT A FUNCTION? TRY IT!State if the following is a function or not a function and why.{(0, 2), ( 3, 4), (-5, 4), (-3, 2)}4124325-59118500 437197561595004572006286500WE MAY NEED TO EVALUATE the FUNCTION- try it!!!!! *** use parenthesis***Evaluate g( -2) if g(x) = x2 – 4x + 10Evaluate f (1 4 ) if fx=4x+38x-5Let f be a function such that f(x) = 2x - 4 is defined on the domain 2 ≤ x ≤ 6. The range of this function is - ∞ ≤ y ≤ ∞0 ≤ y ≤ ∞0 ≤ y ≤ 82 ≤ y ≤ 12Let f be a function such that f(x) = 3x + 5 is defined on the domain -1 ≤ x ≤ 3. The range of this function is -1 ≤ y ≤ 3- ∞ ≤ y ≤ ∞ 2 ≤ y ≤ 14 3 ≤ y ≤ 5 2409825-19050000Function in the Real World!!!Which domain would be the most appropriate set to use for a function that predicts the number of household online-devices in terms of the number of people in the household?Integersb. Whole numbersc. Irrational numbersd. Rational numbersLinear Transformations Given the graph of the line represented by the equation fx=-3x+a, If a is increased by 5 units, the graph of the new line would be shifted 5 units __________. If a is decreased by 5 units, the graph of the new line would be shifted 5 units __________. Given the graph of the line represented by the equation fx=5x+b, If b is increased by 7 units, the graph of the new line would be shifted 7 units __________. If b is decreased by 7 units, the graph of the new line would be shifted 7 units __________. Rational Vs Irrational Is the product of 9 and 49 rational or irrational? Explain your reasoningIs the sum of 25 and 14 rational or irrational? Explain your reasoningIs the product of 3 and 49 rational or irrational? Explain your reasoningGraphing Linear Functions5375275228600 Draw a graph of the equation y = - 23x+1 Is the point (3,2) a solution to the equation? Explain your answer based on the graph drawn.Super Painters charges $1.00 per square foot plus an additional fee of $25.00 to paint a living room. If x represents the area of the walls of Francesca's living room, in square feet, and y represents the cost, in dollars, which graph best represents the cost of painting her living room?a)b)c)d)Arithmetic SequencesArithmetic Sequence - made by adding or subtracting the same value each time.1. Zaire programmed a website’s checkout process with an equation to calculate the amount customers will be charged when they download songs. The website offers a discount. If one song bought at the full price of $1.39, then each additional song is $0.89. State an equation that represents the cost, C, when s songs are downloaded.Zaire figured he would be charged $54.29 for 61 songs. Is this the correct amount? Justify your answer.Rate The graph below represents the walker’s speed during her 12-minute walk around her neighborhood. MinutesDescribes what the walker was doing during the 2-10 minute interval of her walk in context to the problem? She was increasing her speed.She was walking at a constant rate.She was standing still.She was decreasing her speed.At Albany City High School, the mathematics and Physics scores of nine students were compared as shown in the table below. Mathematics7086927055456879100Physics688492628451677492State the correlation coefficient, to the nearest hundredth, for the line of best fit for these data. Explain what the correlation coefficient means with regard to the context of this situation.Solving for VariablesMrs. Apostol wrote the formula A=b-cd on the board. Four students solved it for a different variable. Who made a mistake?Amber wrote b = ad + cBrian wrote c = b – adCarla wrote d = a(c-b)Dale wrote d =b-ca ................
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