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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?
[0 -+infinity)
inconsitent
Mirror image neg quadrant to that of the positive quandrant
Square Root

2. What does the square root function look like on a graph?
undefined slope
Line ascending to the right gradually
Y=b
horizontal

3. What is a relation?
Any set of ordered pairs
The single number y=
A line passing through two distinct points
f(x)=3 square root x

4. What is the formula for the standard cubic function?
Yes - all the domains points to one range
undefined
identity
f(x)=x^3

5. What are the algebra of functions?
Cannot be drawn in quizlet
The first set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x
A line passing through two distinct points

6. What is a constant function?
perpendicular line
f(x)=3 square root x
f(x^1)=f(x^2)
Any set of ordered pairs

7. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
(-infinity - 0]U[0 - +infinity)
x=a
f(x)=+c and f(x)-c

8. What is slope?
odd
horizontal
A line passing through two distinct points
function notation

9. What is the standard quadratic function?
x^2
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
(-infinity - +infinity)
Square Root

10. 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
identity
inconsitent
(-infinity - +infinity)

11. 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?
The single number y=
x is the hours to repair the boat. $1603-532=anwser/63 = x
m
The second set of components of an ordered pair

12. What is the range for an absolute value function?
45 degree angle
f(x+c) and f(x-c)
(-infinity - 0]U[0 - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

13. What are two examples of composit functions?
f of g and g of f
Line ascending to the right gradually
Mirror image neg quadrant to that of the positive quandrant
[0 -+infinity)

14. Draw or discuss a decreasing function
Cannot be drawn in quizlet
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
only one

15. Of the seven of algebra's common graph's how many are even?
perpendicular line
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet
inconsitent

16. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
horizontal
The opposite coordinates
x = the original sale price and the formula is x - .40x =$276
(-infinity - 0]U[0 - +infinity)

17. What is the line called that illustrates the straight line between the two points when showing average rate of change?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The secant line
Y
0<c<1 - horizontal stretching

18. What is the domain of a square root function?
(-infinity - +infinity)
f(x)=+c and f(x)-c
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)

19. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
postiive slope
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
A V

20. Is a standard quadratic function even - odd or neither?
(-infinity - +infinity)
even
[0 -+infinity)
f(x)=x^3

21. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
odd
Three odd - cube root - identity - standard cubic
45 degree angle

22. Which direction does f(x)=+c move in standard absolute value formula?
up
f(x)=+c and f(x)-c
As many as you like
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

23. What does the average rate of change formula solve?
The slope of a line containing two points
[0 -+infinity)
(-infinity - +infinity)
Equation of a line

24. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
45 degree angle
As equations

25. What direction does f(x)-c move in standard absolute value formula?
down
same
f(x)=3 square root x
zero slope

26. What is the domain for an absolute value function?
Mirror image neg quadrant to that of the positive quandrant
f of g and g of f
(-infinity - +infinity)
Cannot be drawn in quizlet

27. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
[0 -+infinity)
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

28. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Absolute Value - Constant and Standard Quadratic
f of g and g of f
Three odd - cube root - identity - standard cubic

29. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
identity
x^2

30. What does linear equation mean?
horizontal
in a quotient
Yes - all the domains points to one range
Equation of a line

31. What is a function?
[0 -+infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = 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.

32. What is the slope of a perpendicular line?
negative inverse
x is the hours to repair the boat. $1603-532=anwser/63 = x
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.
(-infinity - +infinity)

33. x= a real number is what type of equation?
identity
Any set of ordered pairs
Conditional
The first set of components of an ordered pair

34. x=all real numbers is what type of an equation?
Equation of a line
(f+g) - (f-g) - (fg) - (f/g) all of x
identity
undefined slope

35. What type of slope do you have when the line is horizontal and m=0?
The single number y=
zero slope
(-infinity - 0]U[0 - +infinity)
Y=x^2 - graph

36. What type of line is an identity function?
f(x)=+c and f(x)-c
[0 -+infinity)
45 degree angle
math 4 x - graph

37. What is the vertex?
x=a
neither
The minimum or maximum points
because the demintor of a quotient can never equal zero

38. A flat line underlining one vertical line is a symbol for
(-infinity - +infinity)
perpendicular line
Y=b
When does a graph not define y as a function of x?

39. What are the calculator instructions for the standard cubic function?
x math 3 graph
(-infinity - +infinity)
Line ascending to the right gradually
Yes because two x's or domains can point to one y

40. What is the domain of the cube root function?
Square Root
parraelle line
(-infinity - +infinity)
f(x+c) and f(x-c)

41. What is the range of the constant function?
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.
(-infinity - +infinity)
horizontal
The single number y=

42. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
Square Root
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
horizontal left

43. y=f(cx) what does this formula represent?
[0 -+infinity)
parabola
0<c<1 - horizontal stretching
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

44. What does the absolute value function look like?
A V
Y=IxI
x math 3 graph
(-infinity - +infinity)

45. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
1 -2 -3
f(x)=+c and f(x)-c
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.

46. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
(-infinity - 0]U[0 - +infinity)
The first set of components of an ordered pair
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. what is the formula for slope?
f(x) = x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Change in y / change in x = rise / run = y2-y1 / x2-x1
up

48. What type of slope do vertical lines have?
negative slope
The second set of components of an ordered pair
f(x+c) and f(x-c)
undefined

49. What points do you use to plot the inverse on a graph?
The opposite coordinates
horizontal
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
Equation of a line

50. What are the calculator instructions for a square root function?
parabola
Set the x and y to zero and get the intercepts and then plot the points
A V
2nd key - x^2 - graph