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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. What is the formula in both horizontal stretching and horizontal shrinking?
undefined
2nd catalog (zero key -) abs(x) - graph
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

2. What is the domain of the cube root function?
The slope of a line containing two points
(-infinity - +infinity)
horizontal
(-infinity - 0]U[0 - +infinity)

3. What is the formula for an absolute value function?
f(x)=IxI
45 degree angle
horizontal left
C>1 - horizontal shrinking

4. y=f(cx) - what does this formula represent?
Three odd - cube root - identity - standard cubic
C>1 - horizontal shrinking
(-infinity - +infinity)
The first set of components of an ordered pair

5. What are the algebra of functions?
4 -6 -9
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Conditional

6. What does the graph of the cube root function look like on the graph?
neither
The slope of a line containing two points
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x

7. 4(x-7)=4x-28 is what type of an equation?
identity
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Cannot be drawn in quizlet
even

8. What type of slope do horizontal lines have?
f(x) = x
same
horizontal left
negative slope

9. y=f(cx) what does this formula represent?
f(x) = x
0<c<1 - horizontal stretching
postiive slope
[0 -+infinity)

10. What is the formula for the cube root function?
f of g and g of f
f(x)=3 square root x
Y=x^2 - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

11. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
in a quotient
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276
Line ascending to the right gradually

12. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Any set of ordered pairs
parraelle line
2nd key - x^2 - graph

13. What is the domain and range of a constant function?
f of g and g of f
A V
Square Root
(-infinity - +infinity)

14. What direction does f(x)-c move in standard absolute value formula?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
Y
down

15. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
f(x)=IxI
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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.
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

16. what is a range?
up
Piecewise
The second set of components of an ordered pair
negative slope

17. Is the standard cubic function odd - even or neither?
Mirror image neg quadrant to that of the positive quandrant
odd
function notation
Piecewise

18. What is the domain for the standard cubic function?
inconsistant
f of g and g of f
(-infinity - +infinity)
odd

19. What is the formula for an identity function?
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
C>1 - horizontal shrinking
f(x) = x

20. Is an absolute value function even - odd or neither?
horizontal left
Conditional
even
f(x+h)-f(x)/h h cannot equal zero

21. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
Yes because two x's or domains can point to one y
in a quotient
f(x)=3 square root x

22. what can never equal zero in the slope formula and why?
Y= then enter the number then press graph
Line ascending to the right gradually
x2-x1 because the demonaitor of a quotient can never equal zero
parabola

23. What shape is the standard quadratic function?
0<c<1 - horizontal stretching
[0 -+infinity)
parabola
f of g and g of f

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

25. 4(x-7)=4x+28 is what type of an equation?
inconsitent
f(x)=IxI
2nd catalog (zero key -) abs(x) - graph
odd

26. What is the domain for an absolute value function?
When does a graph not define y as a function of x?
same
parabola - up one and right three
(-infinity - +infinity)

27. What is the line called that illustrates the straight line between the two points when showing average rate of change?
A V
Cannot be drawn in quizlet
(-infinity - +infinity)
The secant line

28. What does the square root function look like on a graph?
Yes because two x's or domains can point to one y
Line ascending to the right gradually
odd
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

29. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
perpendicular line
Line ascending to the right gradually
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

30. how many domains can you have pointing to one range?
(-infinity - +infinity)
even
up
As many as you like

31. What is the domain of a square root function?
x^2
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.
even
[0 -+infinity)

32. Of the seven of algebra's common graph's how many are neither?
odd
f(x)=x^3
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Square Root

33. Draw or discuss a constant function
The minimum or maximum points
0<c<1 - horizontal stretching
Cannot be drawn in quizlet
undefined slope

34. What is the point slope formula and when do you use it?
down
Conditional
f of g and g of f
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

35. Draw or discuss a decreasing function
horizontal left
math 4 x - graph
Square Root
Cannot be drawn in quizlet

36. What are the calculator instructions for absolute value?
horizontal
undefined slope
When does a graph not define y as a function of x?
2nd catalog (zero key -) abs(x) - graph

37. What are the steps for solving a word problem?
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
The single number y=
45 degree angle
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6 -000

38. x=all real numbers is what type of an equation?
Y=b
x is the hours to repair the boat. $1603-532=anwser/63 = x
identity
parraelle line

39. Is a standard quadratic function even - odd or neither?
even
Three odd - cube root - identity - standard cubic
Y=IxI
same

40. What is the domain of an identity function?
math 4 x - graph
The secant line
(-infinity - +infinity)
2nd key - x^2 - graph

41. What type of slope do vertical lines have?
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
undefined
Absolute Value - Constant and Standard Quadratic

42. Is a constant function even - odd or neither?
parraelle line
even
parabola
f(x+h)-f(x)/h h cannot equal zero

43. What is a constant function?
f(x^1)=f(x^2)
f(x+h)-f(x)/h h cannot equal zero
x2-x1 because the demonaitor of a quotient can never equal zero
20+.05x=5+.10x x=minutes

44. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
A line passing through two distinct points
C>1 - horizontal shrinking

45. x= a real number is what type of equation?
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
When does a graph not define y as a function of x?
x2-x1 because the demonaitor of a quotient can never equal zero

46. What does the standard cubic function look like on a graph?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Conditional
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

47. In an identity function if f(10)=x than what is y?
The secant line
even
Y=b
Y=10

48. Which direction does f(x-c) move
horizontal right
odd
horizontal left
A V

49. A flat line underlining one vertical line is a symbol for
odd
perpendicular line
Piecewise
f(x)=+c and f(x)-c

50. Draw or discuss an increasing function
x = the original sale price and the formula is x - .40x =$276
45 degree angle
Cannot be drawn in quizlet
The opposite coordinates