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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 for the cube root function?
x math 3 graph
Equation of a line
f(x)=IxI
f(x)=3 square root x

2. $50 -000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6 -000. What is x and what is the formula?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
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
identity

3. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
(f+g) - (f-g) - (fg) - (f/g) all of x
horizontal right
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

4. How would this formula move f(x)=(x+1)^2-3
1 -2 -3
Square Root
parraelle line
parabola - up one and right three

5. What are the algebra of functions?
even
(f+g) - (f-g) - (fg) - (f/g) all of x
Piecewise
m

6. What does the graph of the cube root function look like on the graph?
Three odd - cube root - identity - standard cubic
2nd catalog (zero key -) abs(x) - graph
Approach neg toward x through zero and above positive close to x
Yes - all the domains points to one range

7. What are the calculator instructions for the standard cubic function?
x math 3 graph
Approach neg toward x through zero and above positive close to x
even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

8. What is the formula for the standard cubic function?
horizontal left
f(x)=suare root of x
f(x)=x^3
even

9. Why can h not equal zero in the difference of a quotient function formula?
identity
because the demintor of a quotient can never equal zero
even
negative inverse

10. When is the only time (-infinity - +infinity) is not the domain?
45 degree angle
Conditional
in a quotient
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

11. A flat line underlining one vertical line is a symbol for
perpendicular line
horizontal left
Y= then enter the number then press graph
(-infinity - +infinity)

12. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
20+.05x=5+.10x x=minutes
x = the original sale price and the formula is x - .40x =$276
x^2
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

13. Is the square root function odd - even or neither?
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
neither
up
undefined

14. What type of line is a constant function?
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.
[0 -+infinity)
horizontal
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

15. What is another way of writing the absolute value function?
Mirror image neg quadrant to that of the positive quandrant
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.
Y=IxI
Y= then enter the number then press graph

16. What is the domain and range of a constant function?
horizontal right
undefined
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)

17. What is the formula for an identity function?
Y=10
Square Root
parabola - up one and right three
f(x) = x

18. how many domains can you have pointing to one range?
As many as you like
x math 3 graph
Y
Change in y / change in x = rise / run = y2-y1 / x2-x1

19. Which direction does f(x-c) move
horizontal right
Square Root
The first set of components of an ordered pair
1 -2 -3

20. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
(-infinity - +infinity)
(-infinity - +infinity)
(-infinity - +infinity)

21. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
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
Absolute Value - Constant and Standard Quadratic
horizontal
4 -6 -9

22. What is the domain for an absolute value function?
parabola - up one and right three
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
same

23. What is a domain?
The first set of components of an ordered pair
f of g and g of f
inconsistant
x^2

24. What is the vertical line formula?
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.
x=a
Y=x - identity function

25. What is the domain of an identity function?
(-infinity - +infinity)
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
Line ascending to the right gradually
f(x)=3 square root x

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

27. f(x) = x^2+3x+5 - what type of formula is this?
Y= then enter the number then press graph
function notation
horizontal
horizontal

28. What type of slope do horizontal lines have?
Cannot be drawn in quizlet
same
Square Root
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

29. What is an identity function?
inconsistant
45 degree angle
Yes - all the domains points to one range
down

30. What is the range of the constant function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
up
perpendicular line
The single number y=

31. What type of slope do you have when a line rises from left to right and m>0?
f(x)=+c and f(x)-c
inconsitent
postiive slope
(-infinity - 0]U[0 - +infinity)

32. What type of line is an identity function?
f(x)=+c and f(x)-c
45 degree angle
As equations
Approach neg toward x through zero and above positive close to x

33. What equation does every line have? Discuss the variables.
no because you cannot have one domain pointing at two y's or ranges
Three odd - cube root - identity - standard cubic
x2-x1 because the demonaitor of a quotient can never equal zero
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.

34. What is the range of an identity function?
f of g and g of f
Y=IxI
(-infinity - +infinity)
A V

35. What is the formula for to calculate the difference of a quotient function?
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.
identity
horizontal right
f(x+h)-f(x)/h h cannot equal zero

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

37. What type of slope do you have when m=? and the line is vertical?
f(x)=+c and f(x)-c
undefined slope
The single number y=
Set the x and y to zero and get the intercepts and then plot the points

38. What direction does f(x)-c move in standard absolute value formula?
even
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
x math 3 graph
down

39. What are the calculator instructions for the cube root function?
math 4 x - graph
x = the original sale price and the formula is x - .40x =$276
Change in y / change in x = rise / run = y2-y1 / x2-x1
neither

40. y=f(cx) - what does this formula represent?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Set the x and y to zero and get the intercepts and then plot the points
C>1 - horizontal shrinking

41. Standard absolute value - vertical shift formulas for positve and negative
Mirror image neg quadrant to that of the positive quandrant
The first set of components of an ordered pair
f(x)=+c and f(x)-c
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

42. What does the square root function look like on a graph?
even
function notation
Line ascending to the right gradually
f(x)=3 square root x

43. What are the four steps for finding the inverse of a function?
Y=b
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
zero slope
The secant line

44. What is the formula for the square root function?
f(x2)-f(x1) / x2-x1
f(x)=suare root of x
even
Piecewise

45. 4x+5x=8x is what type of an equation?
Cannot be drawn in quizlet
undefined
Conditional
(-infinity - +infinity)

46. What is the domain of the cube root function?
The first set of components of an ordered pair
Y=IxI
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

47. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
The slope of a line containing two points
1 -2 -3
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
even

48. What are the steps for solving a word problem?
(-infinity - 0]U[0 - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
The second set of components of an ordered pair
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

49. Is an absolute value function even - odd or neither?
Set the x and y to zero and get the intercepts and then plot the points
parraelle line
even
f(x)=IxI

50. Of the seven of algebra's common graph's how many are neither?
Square Root
The opposite coordinates
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
negative inverse