AP Precalc midterm review

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1) for the polynomial function g, lim

A

14) graph with 4 diff dotted lines

A

15) a transformation for which the graph g is the image of graph f

A

17) rational function h given by h(x)=big fraction

A

21) roc of f(x)

A

34) the function g is given by g(x)=log7(x) which describes the relationships between g and h?

A

37). Two drones are flying over a given area ... what is true about the average rates of change (hint: Average)

A

39) Jordan's cell phone plan includes 5 gigabytes

A

42) which could be a table of in its and outputs for the rational function r given

A

7) function with a hole (hint: a hole)

A

43) the rational function h is expressed as the quotient

A. degree 2 coefficient 3

11) a polynomial function has the form p(x)

B

18) graph of cot x (hint: 2 lines)

B

29) the function f is given by f(x)=3^x ... relationship between the graphs of f and g?

B

4) the function f is given by f(x)=log2(log3x)

B

49) the table gives values of the function f

B

5) (squiggly graph) on which interval

B

46) the function f ... which correctly describes the end behavior of f as the input values increase without bound? (hint: Bound)

B.

28) the graph of the polynomial function f. how many points of inflection?

B. Three

33) The range of function f is the positive real number (hint: it's not actually a number)

B. e^2

32) a polynomial function f is given by f(x) = ax^4 + bx^3 + cx^2 + dx + k ... which of the following statements is true?

B. f has either

36) in a certain town, the population in the year 2000 was about 30,000

B. g(p)

10) the function f is defined by f(x)=4x^2+3. Which expression defines the inverse function of f?

C

12) A decibel (dB)

C

19) a family needs to buy one shovel C(x) (hint: C(x))

C

45) the polynomial function p ... which is equivalent to (x+2)^4?

C

9) tablespoons of roc of f on the interval x (hint: r-o-?)

C

47) the function p(0)=3tan(pi/2(0+1)) -4 ... what is the period of p? (hint: t-t-tan... t-t-two)

C. 2

24) the function f is logarithmic ... which could define f(x)? (hint: look at one of the points: (4, 2))

C. 2log4(x)

20) quadratic function p ... aroc of p on interval 6 < x < 8 (hint: 6 < x <8)

C. 5

22) functions f and g are given by ... what is the domain of the function h

C. all real numbers greater than 0

30) when f is rewritten, which value is greatest?

C. c

41) weird squares labeled stage and fields

C. quadratic

48) function g is in the form g(x) = a • b^x ... which statement is true?

C. the output values of g only

13) the function g is given by g(x)=ln(3x+1)

D

16) the input output pairs

D

2) a single logarithmic function f

D

23) the rational function r is given by r(x)=big fraction. on what intervals is it greater than or equal to zero?

D

25) what is the value of h(1)? (hint: which letter is closest to h?)

D

26) For the polynomial function g, the rate of change of g is increasing for x<2

D

35) the function f is defined for all real values of x

D

40) Two functions f and g are composed such that

D

44) to solve the equation log8(x-3)+log8(x+4)=1, one method is to (hint: method)

D

50) the graph of which of the following has at least one hole, one va, and a horizontal asymptote?

D

6) (2 • 2 • 2 • 2 • 4.7)

D

8) csc graph

D

31) the function f(x)=3cos(pix) which of the following gives the inverse?

D. 1/pi

38) the functions f and g ... for how much of the interval are the graphs of f and g both concave up? (hint: concave.. circle.. period of a circle)

D. 2pi units of x

3) water hyacinth

D. k(t)

27) what table is evidence that f is exponential?

Table D


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