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SAT Scores by Income The following bar graph shows U.S. critical reading SAT scores as a function of household income:
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Finite Mathematics and Applied Calculus (MindTap Course List)
- . f (x) = x^2 +2 x<3 10 x=3 -3+4x x>3 1. At what value is this function discontinuous, if any? What is the lim f (x) 3 ? What is the lim f (x) 1? d. What is the value of f (4) ?arrow_forwardFind lim x → 0 e* + 1 x² + 4 Answer only please (NB * is x )arrow_forwardFind the function f whose graph is given, state the value of the given quantity if it exists. If answer does not exist enter DNE A) lim f(x) X->2- B) lim f(x) X->2+ C) lim f(x) X->2 D) lim f (x) X->9 E) f(9)arrow_forward
- 1. Evaluate lim (2x-5) given its graph below. x →2 a.0 b. -1 c. 2 d. 1 2. Given the graph of f(x) below, evaluate its limit as x approaches 3. a.2 b. 3 c. 1 d. 0arrow_forward(a) What is wrong with the following equation? x2 + x − 12 x − 3 = x + 4 (x − 3)(x + 4) ≠ x2 + x − 12 The left-hand side is not defined for x = 0, but the right-hand side is. The left-hand side is not defined for x = 3, but the right-hand side is.None of these — the equation is correct. (b) In view of part (a), explain why the equation lim x → 3 x2 + x − 12 x − 3 = lim x → 3 (x + 4) is correct. Since x2 + x − 12 x − 3 and x + 4 are both continuous, the equation follows. Since the equation holds for all x ≠ 3, it follows that both sides of the equation approach the same limit as x → 3. This equation follows from the fact that the equation in part (a) is correct.None of these — the equation is not correct.arrow_forwardUse the graph of the function h(x) given below to answer the questions that follow. (1) Evaluate h(−2) (a) Find lim x → −2- h(x) (b) Find lim x → -2+ h(x) (c) Use your answers from parts (b) and (c) to find lim x→-2 h(x).arrow_forward
- Sales of a new model of compact disc player are approximated by the function S(x) = 1000 - 800e-x, where S(x) is in appropriate units and x represents the number of years the disc player has been on the market.(a) Find the sales during year 0.(b) In how many years will sales reach 500 units?(c) Will sales ever reach 1000 units?(d) Is there a limit on sales for this product? If so, what is it?arrow_forwardWe know lim 2x -1 = 5 x→3 What value of x guarantees that f(x) = 2x -1 is within 0.2 units of 5? Show your work.arrow_forwardTrue or False? b). If lim x -> 5f(x) = DNE, then f (5) =DNE.If the statement is TRUE, explain why. If the statement is FALSE, sketch the graph of a counterexample.arrow_forward
- Question content area top Part 1 By determining f′(x)=limh→0f(x+h)−f(x)h, find f′(6) for the given function. f(x)=7x2arrow_forwardf'(x) = (x-1)(x-2)(x-3)(x-4) What can be said about lim(x->infinity) if anything?arrow_forwardA. Lim x arrow -6^+B. Lim x arrow -2C. Lim x arrow 1D. f(4)E. f(6)arrow_forward
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