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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 range for an absolute value function?
horizontal left
Y=x - identity function
inconsitent
(-infinity - 0]U[0 - +infinity)

2. What does the absolute value function look like?
parraelle line
Any set of ordered pairs
A V
horizontal

3. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
odd
horizontal left
f(x)=+c and f(x)-c

4. Is the standard cubic function odd - even or neither?
odd
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Set the x and y to zero and get the intercepts and then plot the points
x is the hours to repair the boat. $1603-532=anwser/63 = x

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

6. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
As equations
(-infinity - 0]U[0 - +infinity)
horizontal right

7. Which direction does f(x)=+c move in standard absolute value formula?
f(x)=x^3
Line ascending to the right gradually
f(x)=+c and f(x)-c
up

8. What are the four steps for solving a linear equation?
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
inconsistant
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.

9. Draw or discuss a constant function
[0 -+infinity)
The slope of a line containing two points
negative slope
Cannot be drawn in quizlet

10. What direction does f(x)-c move in standard absolute value formula?
45 degree angle
down
x^2
x=a

11. How are functions normally written?
Y=IxI
even
As equations
Mirror image neg quadrant to that of the positive quandrant

12. Draw or discuss a decreasing function
C>1 - horizontal shrinking
Change in y / change in x = rise / run = y2-y1 / x2-x1
up
Cannot be drawn in quizlet

13. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
only one
Conditional

14. 4(x-7)=4x-28 is what type of an equation?
identity
Change in y / change in x = rise / run = y2-y1 / x2-x1
Line ascending to the right gradually
The opposite coordinates

15. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
f(x) = x
The slope of a line containing two points
down

16. A flat line underlining one vertical line is a symbol for
[0 -+infinity)
perpendicular line
undefined slope
C>1 - horizontal shrinking

17. What is the formula for to calculate the difference of a quotient function?
f(x^1)=f(x^2)
f(x+h)-f(x)/h h cannot equal zero
parabola - up one and right three
20+.05x=5+.10x x=minutes

18. What is a relation?
Y= then enter the number then press graph
perpendicular line
1 -2 -3
Any set of ordered pairs

19. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Equation of a line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Yes - all the domains points to one range
Three odd - cube root - identity - standard cubic

20. Of the seven of algebra's common graph's how many are even?
Three odd - cube root - identity - standard cubic
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Absolute Value - Constant and Standard Quadratic
same

21. Is an identity function even - odd or neither?
Mirror image neg quadrant to that of the positive quandrant
odd
Cannot be drawn in quizlet
undefined

22. What is the domain for an absolute value function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x^2
(-infinity - +infinity)
Conditional

23. What is the range for a standard quadratic function?
x^2
(-infinity - 0]U[0 - +infinity)
f(x2)-f(x1) / x2-x1
no because you cannot have one domain pointing at two y's or ranges

24. x=no real numbers is what type of an equation?
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.
parabola
4 -6 -9
inconsistant

25. What type of slope do vertical lines have?
20+.05x=5+.10x x=minutes
undefined
perpendicular line
Y= then enter the number then press graph

26. In an identity function if f(10)=x than what is y?
Y=10
parabola
The first set of components of an ordered pair
As equations

27. Is a constant function even - odd or neither?
A V
negative inverse
even
f(x+c) and f(x-c)

28. Why can h not equal zero in the difference of a quotient function formula?
f(x)=x^3
because the demintor of a quotient can never equal zero
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
horizontal

29. What does the average rate of change formula solve?
neither
Any set of ordered pairs
The slope of a line containing two points
(-infinity - +infinity)

30. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
4 -6 -9
Square Root
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
identity

31. Draw or discuss an increasing function
A V
Cannot be drawn in quizlet
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.
perpendicular line

32. What is the range of a square root function?
[0 -+infinity)
Absolute Value - Constant and Standard Quadratic
f(x)=suare root of x
Cannot be drawn in quizlet

33. What type of slope do you have when a line falls left to right and m<0?
The secant line
The minimum or maximum points
negative slope
(-infinity - +infinity)

34. What are the calculator instructions for a square root function?
horizontal left
Y=b
Y=x - identity function
2nd key - x^2 - graph

35. What does linear equation mean?
Equation of a line
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
identity

36. What is the standard quadratic function?
x math 3 graph
because the demintor of a quotient can never equal zero
x^2
20+.05x=5+.10x x=minutes

37. What are the four steps for finding the inverse of a function?
Cannot be drawn in quizlet
f(x)=+c and f(x)-c
f of g and g of f
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

38. Standard absolute value - horizontal shift formulas for left and right
2nd key - x^2 - graph
f(x+c) and f(x-c)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x)=+c and f(x)-c

39. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
0<c<1 - horizontal stretching
perpendicular line
(-infinity - +infinity)

40. What is the formula for the square root function?
x2-x1 because the demonaitor of a quotient can never equal zero
f(x)=suare root of x
A V
only one

41. x= a real number is what type of equation?
x is the hours to repair the boat. $1603-532=anwser/63 = x
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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

42. What shape is the standard quadratic function?
identity
perpendicular line
parabola
because the demintor of a quotient can never equal zero

43. What is the point slope formula and when do you use it?
Any set of ordered pairs
Approach neg toward x through zero and above positive close to x
inconsitent
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

44. What is the vertical line test?
Y=10
When does a graph not define y as a function of x?
horizontal left
20+.05x=5+.10x x=minutes

45. What is the domain for the standard cubic function?
f(x)=3 square root x
(-infinity - +infinity)
As equations
Conditional

46. What is the slope intercept formula? Define all the variables.
(-infinity - +infinity)
postiive slope
perpendicular line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

47. Is an absolute value function even - odd or neither?
even
f(x)=3 square root x
The slope of a line containing two points
Square Root

48. What is an identity function?
Cannot be drawn in quizlet
f(x)=IxI
45 degree angle
As equations

49. Is a standard quadratic function even - odd or neither?
(-infinity - +infinity)
even
[0 -+infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x

50. What is the domain of an identity function?
f(x)=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)