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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. 4(x-7)=4x-28 is what type of an equation?
in a quotient
identity
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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

2. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
f of g and g of f
perpendicular line
f(x)=x^3

3. What type of function would you use to calculate the most advantageous cell phone plan?
f(x)=suare root of x
(f+g) - (f-g) - (fg) - (f/g) all of x
Absolute Value - Constant and Standard Quadratic
Piecewise

4. What type of slope do you have when a line rises from left to right and m>0?
4 -6 -9
horizontal
parraelle line
postiive slope

5. What are the calculator instructions for a standard quadratic equation?
parraelle line
up
Approach neg toward x through zero and above positive close to x
Y=x^2 - graph

6. What is slope?
Line ascending to the right gradually
even
A line passing through two distinct points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

7. 4(x-7)=4x+28 is what type of an equation?
[0 -+infinity)
Y
Piecewise
inconsitent

8. what can never equal zero in the slope formula and why?
horizontal
1 -2 -3
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

9. What is an identity function?
1 -2 -3
(-infinity - +infinity)
45 degree angle
Cannot be drawn in quizlet

10. What is another way of writing the absolute value 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
Mirror image neg quadrant to that of the positive quandrant
f(x)=3 square root x
Y=IxI

11. What type of slope do vertical lines have?
Equation of a line
identity
x is the hours to repair the boat. $1603-532=anwser/63 = x
undefined

12. What are two examples of composit functions?
f of g and g of f
A line passing through two distinct points
When does a graph not define y as a function of x?
(-infinity - +infinity)

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

14. What are the calculator instructions for the standard cubic function?
x math 3 graph
Any set of ordered pairs
Y= then enter the number then press graph
(-infinity - +infinity)

15. x=all real numbers is what type of an 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.
horizontal left
neither
identity

16. What is the domain for the standard cubic function?
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
Y=b
undefined slope

17. What direction does f(x)-c move in standard absolute value formula?
down
When does a graph not define y as a function of x?
Line ascending to the right gradually
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

18. what is the letter used to represent slope?
identity
m
Cannot be drawn in quizlet
The single number y=

19. What is the horizontal line formula?
neither
Y=b
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
x = the original sale price and the formula is x - .40x =$276

20. Why can h not equal zero in the difference of a quotient function formula?
The minimum or maximum points
undefined
horizontal
because the demintor of a quotient can never equal zero

21. What are the calculator instructions for the cube root function?
identity
[0 -+infinity)
math 4 x - graph
The second set of components of an ordered pair

22. What is the formula for the cube root function?
(-infinity - +infinity)
f(x+c) and f(x-c)
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
f(x)=3 square root x

23. What is the formula in both horizontal stretching and horizontal shrinking?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
20+.05x=5+.10x x=minutes
f(x)=+c and f(x)-c
inconsistant

24. What is the range of a square root function?
Square Root
As equations
The first set of components of an ordered pair
[0 -+infinity)

25. What are the steps for solving a word problem?
x is the hours to repair the boat. $1603-532=anwser/63 = x
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
f(x+h)-f(x)/h h cannot equal zero
Y=x - identity function

26. Which direction does f(x+c) move
even
even
f(x+c) and f(x-c)
horizontal left

27. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
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.
horizontal left
(-infinity - +infinity)

28. What is the domain of an identity function?
up
f(x)=suare root of x
Yes - all the domains points to one range
(-infinity - +infinity)

29. Of the seven of algebra's common graph's how many are neither?
Y= then enter the number then press graph
even
only one
Square Root

30. Draw or discuss an increasing function
f(x)=suare root of x
m
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

31. What type of line is a constant function?
Approach neg toward x through zero and above positive close to x
horizontal
C>1 - horizontal shrinking
x math 3 graph

32. What is the formula for an identity function?
45 degree angle
(-infinity - +infinity)
f(x) = x
in a quotient

33. What are the four steps for solving a linear equation?
x = the original sale price and the formula is x - .40x =$276
Change in y / change in x = rise / run = y2-y1 / x2-x1
A line passing through two distinct points
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.

34. What does the graph of the cube root function look like on the graph?
The secant line
Approach neg toward x through zero and above positive close to x
Three odd - cube root - identity - standard cubic
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

35. What is the formula for an absolute value 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
Conditional
Square Root
f(x)=IxI

36. 4x+5x=8x is what type of an equation?
Conditional
(-infinity - +infinity)
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=10

37. What is a domain?
4 -6 -9
The first set of components of an ordered pair
(-infinity - +infinity)
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.

38. Two vertical lines side by side are a symbol for what
undefined
parraelle line
Cannot be drawn in quizlet
Any set of ordered pairs

39. Which direction does f(x)=+c move in standard absolute value formula?
The minimum or maximum points
up
zero slope
identity

40. What is the range of an identity function?
Y=IxI
(-infinity - +infinity)
0<c<1 - horizontal stretching
As many as you like

41. What points do you use to plot the inverse on a graph?
undefined slope
even
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The opposite coordinates

42. When is the only time (-infinity - +infinity) is not the domain?
The second set of components of an ordered pair
The first set of components of an ordered pair
in a quotient
f(x^1)=f(x^2)

43. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
A V
parabola - up one and right three
function notation

44. What is the domain of a square root function?
[0 -+infinity)
C>1 - horizontal shrinking
even
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.

45. What is the average rate of change formula?
[0 -+infinity)
horizontal
f(x2)-f(x1) / x2-x1
f(x)=suare root of x

46. f(x) = x^2+3x+5 - what type of formula is this?
function notation
Cannot be drawn in quizlet
f of g and g of f
The secant line

47. What is the range for a standard quadratic function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
up
inconsitent
(-infinity - 0]U[0 - +infinity)

48. Of the seven of algebra's common graph's how many are odd?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
because the demintor of a quotient can never equal zero
Three odd - cube root - identity - standard cubic
As many as you like

49. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
identity
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.
20+.05x=5+.10x x=minutes

50. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x=a
When does a graph not define y as a function of x?
horizontal right