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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 an identity 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.
f(x) = x
The opposite coordinates
identity

2. What are the four steps for finding the inverse of a function?
(-infinity - 0]U[0 - +infinity)
The opposite coordinates
same
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

3. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
postiive slope
As many as you like
45 degree angle

4. 4(x-7)=4x-28 is what type of an equation?
identity
f(x+h)-f(x)/h h cannot equal zero
As equations
The slope of a line containing two points

5. Why can h not equal zero in the difference of a quotient function formula?
function notation
because the demintor of a quotient can never equal zero
x is the hours to repair the boat. $1603-532=anwser/63 = x
in a quotient

6. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
function notation
negative inverse
Y= then enter the number then press graph

7. f(x) = x^2+3x+5 - what type of formula is this?
4 -6 -9
only one
Mirror image neg quadrant to that of the positive quandrant
function notation

8. Of the seven of algebra's common graph's how many are neither?
up
no because you cannot have one domain pointing at two y's or ranges
Square Root
f(x^1)=f(x^2)

9. Which direction does f(x+c) move
x^2
because the demintor of a quotient can never equal zero
Approach neg toward x through zero and above positive close to x
horizontal left

10. What type of function would you use to calculate the most advantageous cell phone plan?
4 -6 -9
even
Mirror image neg quadrant to that of the positive quandrant
Piecewise

11. What type of slope do you have when m=? and the line is vertical?
f(x^1)=f(x^2)
undefined slope
f(x)=3 square root x
Cannot be drawn in quizlet

12. What equation does every line have? Discuss the variables.
Y=10
f(x)=+c and f(x)-c
Y=IxI
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.

13. What type of slope do horizontal lines have?
same
down
Cannot be drawn in quizlet
2nd key - x^2 - graph

14. What is the vertical line test?
even
Y=x - identity function
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
When does a graph not define y as a function of x?

15. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x = the original sale price and the formula is x - .40x =$276
[0 -+infinity)
45 degree angle
even

16. What are the calculator instructions for a standard quadratic equation?
Conditional
f(x) = x
Y=x^2 - graph
(-infinity - 0]U[0 - +infinity)

17. Is the square root function odd - even or neither?
neither
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Piecewise
x2-x1 because the demonaitor of a quotient can never equal zero

18. What are the calculator instructions for the standard cubic function?
Any set of ordered pairs
x math 3 graph
4 -6 -9
undefined

19. y=f(cx) - what does this formula represent?
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.
C>1 - horizontal shrinking
Conditional
Y=x^2 - graph

20. x=all real numbers is what type of an equation?
even
Square Root
Equation of a line
identity

21. how many ranges can you have for each domain?
odd
only one
Line ascending to the right gradually
Change in y / change in x = rise / run = y2-y1 / x2-x1

22. What can we substitute for f(x)?
Y
perpendicular line
x^2
Y=x^2 - graph

23. Two vertical lines side by side are a symbol for what
even
Y=IxI
parraelle line
Y=x - identity function

24. What is a relation?
inconsitent
Any set of ordered pairs
horizontal
The slope of a line containing two points

25. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
function notation
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
negative inverse

26. Is the standard cubic function odd - even or neither?
odd
f(x2)-f(x1) / x2-x1
negative inverse
(-infinity - 0]U[0 - +infinity)

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

28. How would this formula move f(x)=(x+1)^2-3
Y=IxI
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
parabola - up one and right three
Cannot be drawn in quizlet

29. What is an identity function?
parraelle line
negative inverse
Set the x and y to zero and get the intercepts and then plot the points
45 degree angle

30. What is the domain for an absolute value function?
(-infinity - +infinity)
math 4 x - graph
horizontal
The first set of components of an ordered pair

31. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
negative inverse
horizontal
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

32. How are functions normally written?
Y=10
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
perpendicular line
As equations

33. What does the square root function look like on a graph?
Line ascending to the right gradually
f(x)=suare root of x
only one
horizontal right

34. What is the horizontal line formula?
Y= then enter the number then press graph
f(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet
Y=b

35. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
Line ascending to the right gradually
Cannot be drawn in quizlet
negative inverse

36. What is the range for the standard cubic function?
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1
neither
same

37. What are the calculator instructions for absolute value?
Mirror image neg quadrant to that of the positive quandrant
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
2nd catalog (zero key -) abs(x) - graph
Three odd - cube root - identity - standard cubic

38. 4(x-7)=4x+28 is what type of an equation?
When does a graph not define y as a function of x?
inconsitent
Any set of ordered pairs
Y= then enter the number then press graph

39. What is the standard quadratic function?
x^2
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
[0 -+infinity)
The opposite coordinates

40. What type of line is a constant function?
up
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
The minimum or maximum points

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

42. What is the range of the cube root function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
45 degree angle
As equations

43. Draw or discuss a constant function
45 degree angle
Cannot be drawn in quizlet
odd
When does a graph not define y as a function of x?

44. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
x math 3 graph
negative inverse
(-infinity - +infinity)

45. Is a standard quadratic function even - odd or neither?
undefined slope
The single number y=
(-infinity - +infinity)
even

46. how many domains can you have pointing to one range?
45 degree angle
The minimum or maximum points
parabola - up one and right three
As many as you like

47. What is the vertex?
x2-x1 because the demonaitor of a quotient can never equal zero
The minimum or maximum points
even
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

48. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
undefined slope
1 -2 -3
perpendicular line
2nd catalog (zero key -) abs(x) - graph

49. When is the only time (-infinity - +infinity) is not the domain?
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
because the demintor of a quotient can never equal zero
f(x)=3 square root x

50. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
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
4 -6 -9
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