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CLEP College Algebra: Functions

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. y^2+x=4 is this a function? Why?

2. how many domains can you have pointing to one range?
x2-x1 because the demonaitor of a quotient can never equal zero
20+.05x=5+.10x x=minutes
As many as you like
parraelle line

3. What are two examples of composit functions?
Y=x - identity function
perpendicular line
f of g and g of f
negative inverse

4. What type of line is a constant function?
horizontal
remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.
Mirror image neg quadrant to that of the positive quandrant
even

5. what is the letter used to represent slope?
up
m
Conditional
(-infinity - +infinity)

6. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276
x=a
f of g and g of f

7. What is the formula for an absolute value function?
neither
Y= then enter the number then press graph
Absolute Value - Constant and Standard Quadratic
f(x)=IxI

8. What is the vertical line test?
When does a graph not define y as a function of x?
(-infinity - +infinity)
down
(-infinity - +infinity)

9. What does the average rate of change formula solve?
2nd key - x^2 - graph
The slope of a line containing two points
x2-x1 because the demonaitor of a quotient can never equal zero
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p

10. What does the graph of the cube root function look like on the graph?
perpendicular line
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
Approach neg toward x through zero and above positive close to x

11. What is the domain and range of a constant function?
(-infinity - +infinity)
f of g and g of f
The first set of components of an ordered pair
horizontal

12. What are the calculator instructions for the standard cubic function?
math 4 x - graph
m
x math 3 graph
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

13. What is the point slope formula and when do you use it?
x is the hours to repair the boat. $1603-532=anwser/63 = x
even
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

14. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
odd

15. What is the line called that illustrates the straight line between the two points when showing average rate of change?
f(x)=+c and f(x)-c
The secant line
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

16. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - 0]U[0 - +infinity)
zero slope
45 degree angle
in a quotient

17. What are the calculator instructions for the cube root function?
Equation of a line
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
parabola
math 4 x - graph

18. Is the standard cubic function odd - even or neither?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
odd

19. What is another way of writing the absolute value function?
f(x)=x^3
only one
Y=IxI
odd

20. Of the seven of algebra's common graph's how many are neither?
The secant line
Square Root
The single number y=
only one

21. Draw or discuss an increasing function
x=a
Cannot be drawn in quizlet
2nd key - x^2 - graph
perpendicular line

22. f(x) = x^2+3x+5 - what type of formula is this?
function notation
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
in a quotient
negative inverse

23. What is the domain for a standard quadratic function?
(-infinity - +infinity)
in a quotient
Y=x^2 - graph
math 4 x - graph

24. What is the range of the constant function?
(-infinity - +infinity)
The single number y=
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic

25. Standard absolute value - horizontal shift formulas for left and right
even
f(x+c) and f(x-c)
odd
postiive slope

26. What is the vertex?
The minimum or maximum points
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
1 -2 -3

27. Is a constant function even - odd or neither?
Absolute Value - Constant and Standard Quadratic
Yes because two x's or domains can point to one y
in a quotient
even

28. What is the horizontal line formula?
Y=b
no because you cannot have one domain pointing at two y's or ranges
x^2
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base

29. x=no real numbers is what type of an equation?
(-infinity - +infinity)
parabola - up one and right three
inconsistant
(-infinity - +infinity)

30. What type of function would you use to calculate the most advantageous cell phone plan?
f(x)=3 square root x
Piecewise
The secant line
f(x)=x^3

31. What is the formula for to calculate the difference of a quotient function?
horizontal
math 4 x - graph
45 degree angle
f(x+h)-f(x)/h h cannot equal zero

32. What is the vertical line formula?
x=a
even
x2-x1 because the demonaitor of a quotient can never equal zero
identity

33. What type of slope do you have when the line is horizontal and m=0?
zero slope
because the demintor of a quotient can never equal zero
Set the x and y to zero and get the intercepts and then plot the points
x math 3 graph

34. 4x+5x=8x is what type of an equation?
Y=x^2 - graph
Conditional
Square Root
parabola - up one and right three

35. How are functions normally written?
(-infinity - +infinity)
As equations
Y
[0 -+infinity)

36. What type of line is an identity function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f of g and g of f
45 degree angle
[0 -+infinity)

37. What type of slope do horizontal lines have?
(-infinity - +infinity)
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.
same
x2-x1 because the demonaitor of a quotient can never equal zero

38. What is the formula for the standard cubic function?
negative inverse
As equations
f(x)=x^3
horizontal

39. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
x=a
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.
Yes - all the domains points to one range
(-infinity - 0]U[0 - +infinity)

40. what can never equal zero in the slope formula and why?
1 -2 -3
x2-x1 because the demonaitor of a quotient can never equal zero
remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.
m

41. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
x = the original sale price and the formula is x - .40x =$276
x is the hours to repair the boat. $1603-532=anwser/63 = x
Yes - all the domains points to one range

42. What is the domain for an absolute value function?
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Yes - all the domains points to one range
x is the hours to repair the boat. $1603-532=anwser/63 = x

43. What is the range of the cube root function?
[0 -+infinity)
even
(-infinity - +infinity)
parabola

44. What is the standard quadratic function?
inconsistant
As equations
x^2
A V

45. Which direction does f(x)=+c move in standard absolute value formula?
undefined slope
When does a graph not define y as a function of x?
undefined
up

46. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
(-infinity - +infinity)
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.
parabola
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base

47. Which direction does f(x+c) move
horizontal left
Square Root
The first set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

48. What does the standard cubic function look like on a graph?
f(x)=suare root of x
x = the original sale price and the formula is x - .40x =$276
Mirror image neg quadrant to that of the positive quandrant
(f+g) - (f-g) - (fg) - (f/g) all of x

49. how many ranges can you have for each domain?
only one
(-infinity - +infinity)
parraelle line
Square Root

50. What type of slope do you have when a line falls left to right and m<0?
[0 -+infinity)
negative slope
(-infinity - +infinity)
Yes - all the domains points to one range