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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 range of an identity function?
(-infinity - +infinity)
Equation of a line
Piecewise
down

2. f(x) = x^2+3x+5 - what type of formula is this?
parabola
function notation
Y=x^2 - graph
inconsitent

3. What is the domain for the standard cubic function?
f(x^1)=f(x^2)
(-infinity - +infinity)
Line ascending to the right gradually
Conditional

4. What are the four steps for solving a linear equation?
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.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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
x2-x1 because the demonaitor of a quotient can never equal zero

5. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
As equations
When does a graph not define y as a function of x?
Yes - all the domains points to one range
parabola

6. What are the four steps for finding the inverse of a function?
Absolute Value - Constant and Standard Quadratic
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
even
x^2

7. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
undefined
odd
(-infinity - +infinity)

8. Is an absolute value function even - odd or neither?
even
Piecewise
parabola - up one and right three
f(x+c) and f(x-c)

9. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
horizontal left
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

10. What type of line is a constant function?
up
horizontal
Yes - all the domains points to one range
f(x)=IxI

11. In an identity function if f(10)=x than what is y?
negative slope
Y=10
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x^1)=f(x^2)

12. What does linear equation mean?
negative inverse
Y=10
Equation of a line
A V

13. What is the average rate of change formula?
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
[0 -+infinity)

14. What direction does f(x)-c move in standard absolute value formula?
inconsitent
The minimum or maximum points
f of g and g of f
down

15. What are the calculator instructions for the cube root function?
inconsistant
Any set of ordered pairs
no because you cannot have one domain pointing at two y's or ranges
math 4 x - graph

16. What is the vertical line formula?
parabola - up one and right three
Cannot be drawn in quizlet
x=a
Y=IxI

17. Is the standard cubic function odd - even or neither?
odd
Y=10
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)

18. What is the domain of a square root function?
[0 -+infinity)
(-infinity - +infinity)
Conditional
Y

19. What is the slope intercept formula? Define all the variables.
x = the original sale price and the formula is x - .40x =$276
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
function notation
f(x+c) and f(x-c)

20. What is an identity function?
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
Equation of a line
zero slope
45 degree angle

21. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and what is x?
f of g and g of f
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
zero slope

22. What type of slope do you have when m=? and the line is vertical?
C>1 - horizontal shrinking
1 -2 -3
undefined slope
neither

23. What is the range for a standard quadratic function?
undefined
Absolute Value - Constant and Standard Quadratic
f(x2)-f(x1) / x2-x1
(-infinity - 0]U[0 - +infinity)

24. When is the only time (-infinity - +infinity) is not the domain?
Change in y / change in x = rise / run = y2-y1 / x2-x1
in a quotient
Conditional
The single number y=

25. What is the formula in both horizontal stretching and horizontal shrinking?
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
x math 3 graph
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
[0 -+infinity)

26. A flat line underlining one vertical line is a symbol for
The second set of components of an ordered pair
f(x)=x^3
(-infinity - +infinity)
perpendicular line

27. What does the absolute value function look like?
f(x)=IxI
identity
A V
down

28. $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?
in a quotient
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
(-infinity - +infinity)
f(x+c) and f(x-c)

29. What is the vertex?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - 0]U[0 - +infinity)
The minimum or maximum points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

30. What equation does every line have? Discuss the variables.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
45 degree angle
x = the original sale price and the formula is x - .40x =$276
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.

31. 4(x-7)=4x+28 is what type of an equation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x=a
perpendicular line
inconsitent

32. What is the range for an absolute value function?
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
because the demintor of a quotient can never equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1

33. 4(x-7)=4x-28 is what type of an equation?
identity
in a quotient
horizontal left
Y

34. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
(-infinity - +infinity)
Y=x - identity function
The first set of components of an ordered pair

35. What is the range of the cube root function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
odd
Y

36. What is a constant function?
f(x^1)=f(x^2)
Cannot be drawn in quizlet
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
Yes - all the domains points to one range

37. What is a domain?
x=a
The first set of components of an ordered pair
because the demintor of a quotient can never equal zero
Y=x - identity function

38. Which direction does f(x+c) move
horizontal left
undefined
negative inverse
inconsistant

39. What is the horizontal line formula?
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
no because you cannot have one domain pointing at two y's or ranges
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

40. What is the formula for an identity function?
0<c<1 - horizontal stretching
f(x+h)-f(x)/h h cannot equal zero
f(x2)-f(x1) / x2-x1
f(x) = x

41. Standard absolute value - horizontal shift formulas for left and right
only one
f(x+c) and f(x-c)
f(x)=3 square root x
f(x)=x^3

42. What does the graph of the cube root function look like on the graph?
horizontal
Approach neg toward x through zero and above positive close to x
only one
Mirror image neg quadrant to that of the positive quandrant

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

44. What is a relation?
f(x+h)-f(x)/h h cannot equal zero
Any set of ordered pairs
Y= then enter the number then press graph
x is the hours to repair the boat. $1603-532=anwser/63 = x

45. What are the calculator instructions for the standard cubic function?
x math 3 graph
horizontal
parabola - up one and right three
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

46. What type of line is a constant function?
45 degree angle
parraelle line
horizontal
Cannot be drawn in quizlet

47. What can we substitute for f(x)?
f(x)=IxI
(-infinity - +infinity)
Y
(-infinity - +infinity)

48. What is the range for the standard cubic function?
A V
f(x)=x^3
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)

49. What is the range of a square root function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
Any set of ordered pairs
horizontal right
[0 -+infinity)

50. Is the square root function odd - even or neither?
neither
Y=IxI
0<c<1 - horizontal stretching
The opposite coordinates