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A quiz on patterns and functions in a math course. It includes questions on identifying arithmetic sequences, defining functions, and working with function rules and sequences. Practice problems and explanations related to these mathematical concepts. It could be useful for students studying algebra, precalculus, or related math topics to review key ideas about functions, sequences, and equations and prepare for exams or assignments on these topics.
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arithmetic In a(n) ___________ sequence, the difference between every pair of consecutive terms in the sequence is the same. every input has exactly one output the graph of the relation passes the vertical line test Which of the following best describes a function? Select all that apply. the graphed line overlaps itself every input has exactly one output the graph of the relation passes the vertical line test the graph of the relation is a straight line Previous Play Next Rewind 10 seconds Move forward 10 seconds Unmute 0: / 0: Full screen Brainpower Read More {(-1,4),(2,7),(3,7)}
Which of the following relations represent a function? {(-1,-3),(3,2),(3,7)} {(-3,7),(3,-7),(3,7)} {(-1,4),(-1,7),(3,5)} {(-1,4),(2,7),(3,7)} No Does this graph represent a function? No Does this graph represent a function? No Does this graph represent a function? Yes Does this graph represent a function? y = x + 3
What is the value of the 23rd term in the sequence 10, 8, 6, 4, ...?
aₙ = -3 · 2 ⁿ⁻¹ The formula for any geometric sequence is aₙ= a₁ + rⁿ⁻¹, where a ₙ represents the value of the ₙth term, a₁ represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence -3, -6, -12, -24, ...? aₙ = -3 · 2 ⁿ⁻¹ aₙ = -3 · (-2)ⁿ⁻¹ aₙ = 2 · (-3)ⁿ⁻¹ aₙ = -2 · (-3)ⁿ⁻¹ -3, What is the value of the 11th term in the sequence -3, -6, -12, -24, ...? -6, -118, -3, -354, This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}. All of the following statements describe the relation shown except _____. The diagram represents a function. The inputs are {-1, 0, 3, 4}. The outputs are {-2, -1, 1}. This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}. y = -4x + 3
What is the function rule represented by the following table? x y 0 3 1 - 2 - y = -2x + 1 y = -3x y = -2x - 1 y = -4x + 3
A function has the function rule y = x - 7. If the input is 4, what is the output? 3