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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. Of the seven of algebra's common graph's how many are neither?
Absolute Value - Constant and Standard Quadratic
Square Root
f of g and g of f
(-infinity - 0]U[0 - +infinity)

2. What is the range of the cube root function?
(-infinity - +infinity)
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
x = the original sale price and the formula is x - .40x =$276
Any set of ordered pairs

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

4. What is the domain for an absolute value function?
Cannot be drawn in quizlet
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
Y

5. What are the calculator instructions for a standard quadratic equation?
The secant line
Cannot be drawn in quizlet
Y=x^2 - graph
odd

6. Of the seven of algebra's common graph's how many are odd?
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
Square Root
Three odd - cube root - identity - standard cubic
odd

7. Which direction does f(x-c) move
Y
horizontal right
Yes because two x's or domains can point to one y
horizontal

8. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
The slope of a line containing two points
Y=x^2 - graph
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 type of line is a constant function?
negative slope
f(x)=suare root of x
Three odd - cube root - identity - standard cubic
horizontal

10. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
0<c<1 - horizontal stretching
f(x)=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

11. What is a relation?
Any set of ordered pairs
undefined slope
(-infinity - 0]U[0 - +infinity)
identity

12. What is the range for the standard cubic function?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Y=10
x^2

13. What is the slope intercept formula? Define all the variables.
Y= then enter the number then press graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
2nd key - x^2 - graph
horizontal

14. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
Conditional
odd
Y=IxI

15. 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(x+h)-f(x)/h h cannot equal zero
4 -6 -9
x is the hours to repair the boat. $1603-532=anwser/63 = x
Mirror image neg quadrant to that of the positive quandrant

16. What type of slope do you have when m=? and the line is vertical?
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
undefined slope
f(x)=x^3

17. What are the four steps for finding the inverse of a function?
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
C>1 - horizontal shrinking
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
parabola

18. y=f(cx) what does this formula represent?
x=a
(-infinity - +infinity)
0<c<1 - horizontal stretching
Y=10

19. What is the standard quadratic function?
x^2
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.
As many as you like
f(x) = x

20. x=all real numbers is what type of an equation?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276
identity

21. What is the vertical line formula?
inconsitent
f(x)=+c and f(x)-c
postiive slope
x=a

22. What is the domain of an identity function?
C>1 - horizontal shrinking
[0 -+infinity)
parabola
(-infinity - +infinity)

23. What is the formula for to calculate the difference of a quotient function?
parabola - up one and right three
f(x+h)-f(x)/h h cannot equal zero
2nd catalog (zero key -) abs(x) - graph
up

24. how many domains can you have pointing to one range?
[0 -+infinity)
Y
Any set of ordered pairs
As many as you like

25. What type of slope do horizontal lines have?
same
no because you cannot have one domain pointing at two y's or ranges
Square Root
function notation

26. What direction does f(x)-c move in standard absolute value formula?
m
postiive slope
down
f(x)=+c and f(x)-c

27. how many ranges can you have for each domain?
(-infinity - +infinity)
Conditional
horizontal
only one

28. Draw or discuss a constant function
horizontal
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x)=IxI
Cannot be drawn in quizlet

29. How are functions normally written?
Set the x and y to zero and get the intercepts and then plot the points
The first set of components of an ordered pair
As equations
C>1 - horizontal shrinking

30. What is the domain and range of a constant function?
(-infinity - +infinity)
negative inverse
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
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

31. What is the formula for the standard cubic function?
Three odd - cube root - identity - standard cubic
f(x)=x^3
even
(-infinity - +infinity)

32. Is an absolute value function even - odd or neither?
even
Cannot be drawn in quizlet
The first set of components of an ordered pair
The secant line

33. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
Square Root
up
Approach neg toward x through zero and above positive close to x

34. What is an identity function?
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
45 degree angle
0<c<1 - horizontal stretching

35. What does linear equation mean?
Equation of a line
inconsitent
Y=b
The single number y=

36. What is the formula for an absolute value function?
f(x)=IxI
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
parabola
f(x+h)-f(x)/h h cannot equal zero

37. Is a constant function even - odd or neither?
f(x^1)=f(x^2)
down
(-infinity - +infinity)
even

38. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
horizontal right
(-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.
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

39. What type of slope do you have when a line rises from left to right and m>0?
horizontal left
45 degree angle
(-infinity - +infinity)
postiive slope

40. What are the calculator instructions for the standard cubic function?
Three odd - cube root - identity - standard cubic
x math 3 graph
because the demintor of a quotient can never equal zero
The slope of a line containing two points

41. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
parabola
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

42. What type of slope do you have when the line is horizontal and m=0?
zero slope
The minimum or maximum points
Y=10
(-infinity - +infinity)

43. What is the vertex?
identity
The minimum or maximum points
f(x)=+c and f(x)-c
x is the hours to repair the boat. $1603-532=anwser/63 = x

44. What can we substitute for f(x)?
(-infinity - +infinity)
C>1 - horizontal shrinking
f(x)=3 square root x
Y

45. What does the square root function look like on a graph?
odd
Line ascending to the right gradually
up
x=a

46. What is the range for a standard quadratic function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y= then enter the number then press graph
(-infinity - 0]U[0 - +infinity)
Mirror image neg quadrant to that of the positive quandrant

47. what is the letter used to represent slope?
m
The minimum or maximum points
(-infinity - +infinity)
Square Root

48. What equation does every line have? Discuss the variables.
x2-x1 because the demonaitor of a quotient can never equal zero
The first set of components of an ordered pair
negative slope
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.

49. f(x) = x^2+3x+5 - what type of formula is this?
function notation
horizontal
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
C>1 - horizontal shrinking

50. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
(-infinity - +infinity)
Y=x - identity function
x = the original sale price and the formula is x - .40x =$276
Yes - all the domains points to one range