Test your basic knowledge |

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

2. What is the range for a standard quadratic function?
identity
Y=10
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 - 0]U[0 - +infinity)

3. What is a relation?
negative slope
odd
A line passing through two distinct points
Any set of ordered pairs

4. What is the domain for an absolute value function?
(-infinity - +infinity)
The opposite coordinates
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Approach neg toward x through zero and above positive close to x

5. What is the domain of the cube root function?
Approach neg toward x through zero and above positive close to x
Piecewise
As equations
(-infinity - +infinity)

6. y=f(cx) - what does this formula represent?
f(x2)-f(x1) / x2-x1
parraelle line
identity
C>1 - horizontal shrinking

7. What are the calculator instructions for the standard cubic function?
x math 3 graph
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
As many as you like
f(x^1)=f(x^2)

8. What is the formula for an absolute value function?
The first set of components of an ordered pair
f(x) = x
The slope of a line containing two points
f(x)=IxI

9. What is the range of a square root function?
4 -6 -9
[0 -+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.
undefined slope

10. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
C>1 - horizontal shrinking
[0 -+infinity)
inconsistant

11. x=all real numbers is what type of an equation?
up
identity
Y=x^2 - graph
horizontal left

12. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
down
perpendicular line
Approach neg toward x through zero and above positive close to x

13. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Equation of a line
Mirror image neg quadrant to that of the positive quandrant
Square Root

14. What is the formula for the standard cubic function?
no because you cannot have one domain pointing at two y's or ranges
f(x)=x^3
Line ascending to the right gradually
A V

15. What is the domain of an identity function?
f(x)=3 square root x
negative slope
(-infinity - +infinity)
20+.05x=5+.10x x=minutes

16. What is the formula for the square root function?
only one
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
f(x)=suare root of x

17. Is the standard cubic function odd - even or neither?
perpendicular line
Equation of a line
same
odd

18. how many domains can you have pointing to one range?
As many as you like
0<c<1 - horizontal stretching
(-infinity - +infinity)
in a quotient

19. Standard absolute value - horizontal shift formulas for left and right
inconsitent
f(x+c) and f(x-c)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in 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

20. What are the four steps for solving a linear equation?
The opposite coordinates
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+c) and f(x-c)
negative inverse

21. 4x+5x=8x is what type of an equation?
(f+g) - (f-g) - (fg) - (f/g) all of x
Conditional
Y= then enter the number then press graph
Absolute Value - Constant and Standard Quadratic

22. A flat line underlining one vertical line is a symbol for
perpendicular line
(-infinity - 0]U[0 - +infinity)
x=a
A line passing through two distinct points

23. What is the range of the cube root function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
The first set of components of an ordered pair
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)

24. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
parabola
2nd key - x^2 - graph
identity

25. Of the seven of algebra's common graph's how many are odd?
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.
even
Three odd - cube root - identity - standard cubic
f(x)=+c and f(x)-c

26. what is the formula for slope?
down
Change in y / change in x = rise / run = y2-y1 / x2-x1
no because you cannot have one domain pointing at two y's or ranges
The opposite coordinates

27. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
Any set of ordered pairs
same
(-infinity - 0]U[0 - +infinity)

28. What does the average rate of change formula solve?
(-infinity - +infinity)
neither
The slope of a line containing two points
4 -6 -9

29. 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
x=a
perpendicular line
x is the hours to repair the boat. $1603-532=anwser/63 = x

30. 4(x-7)=4x-28 is what type of an equation?
up
identity
because the demintor of a quotient can never equal zero
x=a

31. 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
horizontal left
only one
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.

32. Two vertical lines side by side are a symbol for what
The opposite coordinates
up
parraelle line
As many as you like

33. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
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.
f(x)=IxI

34. What are the calculator instructions for absolute value?
45 degree angle
f(x+c) and f(x-c)
parraelle line
2nd catalog (zero key -) abs(x) - graph

35. What is another way of writing the absolute value function?
Y=IxI
f of g and g of f
parraelle line
math 4 x - graph

36. $50 -000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6 -000. What is x and what is the formula?
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
parraelle line
x=a
(-infinity - +infinity)

37. y=f(cx) what does this formula represent?
even
0<c<1 - horizontal stretching
(-infinity - +infinity)
inconsitent

38. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Y=x - identity function
even
x2-x1 because the demonaitor of a quotient can never equal zero

39. What are the calculator instructions for a square root function?
[0 -+infinity)
Three odd - cube root - identity - standard cubic
2nd key - x^2 - graph
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

40. What does the graph of the cube root function look like on the graph?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
Approach neg toward x through zero and above positive close to x
Conditional

41. In an identity function if f(10)=x than what is y?
(-infinity - 0]U[0 - +infinity)
Y=10
Square Root
f(x+c) and f(x-c)

42. What direction does f(x)-c move in standard absolute value formula?
A V
negative slope
f(x^1)=f(x^2)
down

43. What is the vertical line formula?
negative inverse
Conditional
x=a
horizontal left

44. Is a constant function even - odd or neither?
zero slope
2nd key - x^2 - graph
function notation
even

45. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
[0 -+infinity)
even

46. what can never equal zero in the slope formula and why?
inconsitent
Absolute Value - Constant and Standard Quadratic
x2-x1 because the demonaitor of a quotient can never equal zero
20+.05x=5+.10x x=minutes

47. What type of slope do vertical lines have?
undefined
2nd catalog (zero key -) abs(x) - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
identity

48. What does the absolute value function look like?
A V
no because you cannot have one domain pointing at two y's or ranges
2nd catalog (zero key -) abs(x) - graph
Absolute Value - Constant and Standard Quadratic

49. What is the slope of a perpendicular line?
down
negative inverse
Line ascending to the right gradually
(-infinity - +infinity)

50. What type of slope do you have when a line falls left to right and m<0?
negative slope
neither
As equations
f of g and g of f