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. Is an identity function even - odd or neither?
identity
odd
(-infinity - +infinity)
Yes - all the domains points to one range

2. What does the average rate of change formula solve?
odd
undefined slope
The slope of a line containing two points
Y=x^2 - graph

3. Is a standard quadratic function even - odd or neither?
The minimum or maximum points
even
4 -6 -9
The slope of a line containing two points

4. 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
The opposite coordinates
odd
0<c<1 - horizontal stretching

5. What are the steps for solving a word problem?
The opposite coordinates
f(x2)-f(x1) / x2-x1
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
(-infinity - +infinity)

6. What does the absolute value function look like?
A V
f(x)=IxI
f(x^1)=f(x^2)
f(x)=+c and f(x)-c

7. What is another way of writing the absolute value function?
in a quotient
x=a
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
Y=IxI

8. What is the domain for an absolute value function?
horizontal
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
0<c<1 - horizontal stretching
(-infinity - +infinity)

9. Which direction does f(x)=+c move in standard absolute value formula?
undefined
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.
up
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

10. What is the range of the cube root function?
4 -6 -9
(-infinity - +infinity)
f(x)=suare root of x
A V

11. What is the range for the standard cubic function?
(-infinity - +infinity)
f(x)=suare root of x
The secant line
no because you cannot have one domain pointing at two y's or ranges

12. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
postiive slope
Yes - all the domains points to one range
odd

13. Is the square root function odd - even or neither?
neither
inconsitent
Y=IxI
perpendicular line

14. What points do you use to plot the inverse on a graph?
x math 3 graph
The opposite coordinates
m
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

15. What is the line called that illustrates the straight line between the two points when showing average rate of change?
x2-x1 because the demonaitor of a quotient can never equal zero
Set the x and y to zero and get the intercepts and then plot the points
x^2
The secant line

16. what is the formula for slope?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x2)-f(x1) / x2-x1
Change in y / change in x = rise / run = y2-y1 / x2-x1
zero slope

17. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
inconsitent
x = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
f of g and g of f

18. What is the range for an absolute value function?
The first set of components of an ordered pair
4 -6 -9
0<c<1 - horizontal stretching
(-infinity - 0]U[0 - +infinity)

19. What is the vertical line test?
When does a graph not define y as a function of x?
(-infinity - +infinity)
(-infinity - +infinity)
only one

20. What does linear equation mean?
(-infinity - +infinity)
inconsitent
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Equation of a line

21. What is the slope of a perpendicular line?
function notation
negative inverse
Y=x - identity function
odd

22. Draw or discuss a decreasing function
same
Cannot be drawn in quizlet
function notation
Y=x^2 - graph

23. Of the seven of algebra's common graph's how many are neither?
f(x)=+c and f(x)-c
Square Root
x math 3 graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

24. What type of line is a constant function?
same
horizontal
Three odd - cube root - identity - standard cubic
Y

25. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
0<c<1 - horizontal stretching
(-infinity - +infinity)
Cannot be drawn in quizlet

26. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x) = x
f of g and g of f
perpendicular line

27. x= a real number is what type of equation?
C>1 - horizontal shrinking
Cannot be drawn in quizlet
Conditional
identity

28. x=no real numbers is what type of an equation?
Absolute Value - Constant and Standard Quadratic
20+.05x=5+.10x x=minutes
inconsistant
Y=x^2 - graph

29. Of the seven of algebra's common graph's how many are even?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Y=10
math 4 x - graph

30. What is the formula for an identity function?
only one
(-infinity - +infinity)
f(x) = x
even

31. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
The slope of a line containing two points
same
f(x)=+c and f(x)-c

32. 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?
x is the hours to repair the boat. $1603-532=anwser/63 = x
x^2
inconsitent
(-infinity - +infinity)

33. Draw or discuss a constant function
neither
The slope of a line containing two points
Cannot be drawn in quizlet
Y=x - identity function

34. What type of function would you use to calculate the most advantageous cell phone plan?
parabola - up one and right three
Piecewise
(-infinity - +infinity)
Y=b

35. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
x^2
As many as you like
(-infinity - +infinity)

36. What can we substitute for f(x)?
Y
Y= then enter the number then press graph
Yes - all the domains points to one range
parraelle line

37. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
identity
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

38. Standard absolute value - horizontal shift formulas for left and right
A V
Any set of ordered pairs
(-infinity - +infinity)
f(x+c) and f(x-c)

39. What type of slope do you have when the line is horizontal and m=0?
even
zero slope
neither
identity

40. What type of line is a constant function?
negative inverse
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.
horizontal
Any set of ordered pairs

41. What is slope?
A line passing through two distinct points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
because the demintor of a quotient can never equal zero
(-infinity - +infinity)

42. What is a function?
(-infinity - +infinity)
parabola - up one and right three
f(x)=3 square root x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

43. What is the formula for the cube root function?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
f(x)=3 square root x
Piecewise

44. What direction does f(x)-c move in standard absolute value formula?
When does a graph not define y as a function of x?
Conditional
down
horizontal

45. What is a relation?
Any set of ordered pairs
x^2
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
horizontal left

46. Is the standard cubic function odd - even or neither?
odd
inconsitent
inconsistant
The secant line

47. What is the range of the constant function?
2nd catalog (zero key -) abs(x) - graph
inconsitent
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.
The single number y=

48. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
Set the x and y to zero and get the intercepts and then plot the points
The slope of a line containing two points
Line ascending to the right gradually

49. Which direction does f(x-c) move
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
down
math 4 x - graph
horizontal right

50. How would this formula move f(x)=(x+1)^2-3
even
A V
parabola - up one and right three
(-infinity - 0]U[0 - +infinity)