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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 can we substitute for f(x)?
Y
x=a
negative slope
function notation

2. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Y=b
Yes - all the domains points to one range
2nd key - x^2 - graph
(-infinity - +infinity)

3. What is the domain for an absolute value function?
(-infinity - +infinity)
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.
Y=x^2 - graph
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

4. how many domains can you have pointing to one range?
f(x^1)=f(x^2)
x2-x1 because the demonaitor of a quotient can never equal zero
As many as you like
perpendicular line

5. What type of slope do you have when the line is horizontal and m=0?
(-infinity - +infinity)
horizontal
zero slope
45 degree angle

6. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
math 4 x - graph
parabola
Line ascending to the right gradually

7. Standard absolute value - vertical shift formulas for positve and negative
(-infinity - +infinity)
f(x)=+c and f(x)-c
horizontal
even

8. What equation does every line have? Discuss the variables.
The opposite coordinates
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.
function notation
The slope of a line containing two points

9. What is the domain and range of a constant function?
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
up

10. x=all real numbers is what type of an equation?
Conditional
Conditional
Absolute Value - Constant and Standard Quadratic
identity

11. y=f(cx) what does this formula represent?
only one
0<c<1 - horizontal stretching
The secant line
math 4 x - graph

12. When is the only time (-infinity - +infinity) is not the domain?
undefined slope
in a quotient
Mirror image neg quadrant to that of the positive quandrant
function notation

13. What type of slope do you have when a line falls left to right and m<0?
even
negative slope
(-infinity - +infinity)
f(x^1)=f(x^2)

14. What is the range of an identity function?
2nd key - x^2 - graph
m
Piecewise
(-infinity - +infinity)

15. 4(x-7)=4x+28 is what type of an equation?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
parabola - up one and right three
inconsitent

16. Which direction does f(x+c) move
Piecewise
even
(-infinity - 0]U[0 - +infinity)
horizontal left

17. What is the vertical line formula?
Any set of ordered pairs
x=a
zero slope
(-infinity - +infinity)

18. What is the range for an absolute value function?
even
f(x2)-f(x1) / x2-x1
(-infinity - 0]U[0 - +infinity)
in a quotient

19. What is slope?
45 degree angle
A line passing through two distinct points
Mirror image neg quadrant to that of the positive quandrant
20+.05x=5+.10x x=minutes

20. What is the domain of the cube root function?
(-infinity - +infinity)
[0 -+infinity)
math 4 x - graph
Yes because two x's or domains can point to one y

21. Is a standard quadratic function even - odd or neither?
function notation
even
Y=IxI
f(x) = x

22. What does the standard cubic function look like on a graph?
Conditional
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
undefined

23. What is the range of a square root function?
45 degree angle
(-infinity - +infinity)
[0 -+infinity)
x^2

24. How do you calculate a constant function in your calculator?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y= then enter the number then press graph
inconsistant
2nd catalog (zero key -) abs(x) - graph

25. What is the formula for to calculate the difference of a quotient function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x+h)-f(x)/h h cannot equal zero
Absolute Value - Constant and Standard Quadratic
odd

26. What is the slope intercept formula? Define all the variables.
horizontal
perpendicular line
Y=x^2 - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

27. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Line ascending to the right gradually
20+.05x=5+.10x x=minutes
Conditional
4 -6 -9

28. 4(x-7)=4x-28 is what type of an equation?
Cannot be drawn in quizlet
Yes because two x's or domains can point to one y
identity
Set the x and y to zero and get the intercepts and then plot the points

29. Draw or discuss a constant function
inconsistant
f(x^1)=f(x^2)
Cannot be drawn in quizlet
parabola - up one and right three

30. 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
The first set of components of an ordered pair
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.
x=a

31. How are functions normally written?
The first set of components of an ordered pair
As equations
As many as you like
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

32. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
Y
The first set of components of an ordered pair
x = the original sale price and the formula is x - .40x =$276
A line passing through two distinct points

33. What are the calculator instructions for the standard cubic function?
x math 3 graph
negative inverse
(-infinity - +infinity)
f(x)=IxI

34. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Approach neg toward x through zero and above positive close to x
A line passing through two distinct points

35. What type of slope do horizontal lines have?
same
Absolute Value - Constant and Standard Quadratic
When does a graph not define y as a function of x?
parraelle line

36. What are the four steps for solving a linear equation?
no because you cannot have one domain pointing at two y's or ranges
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.
2nd catalog (zero key -) abs(x) - graph
The slope of a line containing two points

37. What are the calculator instructions for a square root function?
f(x)=suare root of x
2nd key - x^2 - graph
45 degree angle
Conditional

38. What is the range for a standard quadratic function?
The slope of a line containing two points
(-infinity - +infinity)
inconsitent
(-infinity - 0]U[0 - +infinity)

39. What is the range of the cube root function?
(-infinity - +infinity)
x^2
f(x)=IxI
in a quotient

40. What type of line is a constant function?
Equation of a line
Square Root
horizontal
Cannot be drawn in quizlet

41. x=no real numbers is what type of an equation?
inconsistant
A line passing through two distinct points
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)

42. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Change in y / change in x = rise / run = y2-y1 / x2-x1
x is the hours to repair the boat. $1603-532=anwser/63 = x
Approach neg toward x through zero and above positive close to x

43. What is the domain of an identity function?
Piecewise
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

44. what can never equal zero in the slope formula and why?
2nd catalog (zero key -) abs(x) - graph
x2-x1 because the demonaitor of a quotient can never equal zero
inconsitent
down

45. What is the formula for an identity function?
f(x^1)=f(x^2)
x = the original sale price and the formula is x - .40x =$276
f(x) = x
f(x)=suare root of x

46. What are the steps for solving a word problem?
Yes because two x's or domains can point to one y
up
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
identity

47. What is the formula for the cube root function?
45 degree angle
f(x)=3 square root x
1 -2 -3
(-infinity - +infinity)

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

49. Which direction does f(x)=+c move in standard absolute value formula?
up
f(x+c) and f(x-c)
Y=b
even

50. What type of function would you use to calculate the most advantageous cell phone plan?
negative slope
Y=x^2 - graph
Piecewise
C>1 - horizontal shrinking