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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. Is the standard cubic function odd - even or neither?
function notation
x=a
A line passing through two distinct points
odd

2. What is a constant function?
f(x^1)=f(x^2)
horizontal right
(-infinity - +infinity)
x math 3 graph

3. What is the range of an identity function?
45 degree angle
The second set of components of an ordered pair
f(x)=x^3
(-infinity - +infinity)

4. What is the range of the cube root function?
(-infinity - +infinity)
identity
even
Cannot be drawn in quizlet

5. What is the formula for the cube root function?
horizontal right
identity
zero slope
f(x)=3 square root x

6. Draw or discuss an increasing function
(-infinity - +infinity)
m
Cannot be drawn in quizlet
Equation of a line

7. Is a constant function even - odd or neither?
Y= then enter the number then press graph
Absolute Value - Constant and Standard Quadratic
even
f(x)=3 square root x

8. What is the domain for the standard cubic function?
x2-x1 because the demonaitor of a quotient can never equal zero
The second set of components of an ordered pair
4 -6 -9
(-infinity - +infinity)

9. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
postiive slope
x = the original sale price and the formula is x - .40x =$276
f(x)=3 square root x
horizontal

10. Two vertical lines side by side are a symbol for what
Conditional
A line passing through two distinct points
parraelle line
inconsistant

11. What is the horizontal line formula?
Y=b
(-infinity - 0]U[0 - +infinity)
identity
Three odd - cube root - identity - standard cubic

12. How do you calculate a constant function in your calculator?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
negative slope
Conditional
Y= then enter the number then press graph

13. What is the domain of a square root function?
[0 -+infinity)
Cannot be drawn in quizlet
neither
negative inverse

14. What is the vertex?
Y=x - identity function
The minimum or maximum points
Cannot be drawn in quizlet
A line passing through two distinct points

15. Standard absolute value - horizontal shift formulas for left and right
zero slope
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x+c) and f(x-c)

16. A flat line underlining one vertical line is a symbol for
perpendicular line
math 4 x - graph
The second set of components of an ordered pair
(-infinity - +infinity)

17. What type of slope do vertical lines have?
undefined
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
m
odd

18. What is a function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Conditional
Y
(-infinity - 0]U[0 - +infinity)

19. When is the only time (-infinity - +infinity) is not the domain?
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.
postiive slope
odd
in a quotient

20. x=no real numbers is what type of an equation?
Three odd - cube root - identity - standard cubic
inconsistant
Y=b
Cannot be drawn in quizlet

21. What does the graph of the cube root function look like on the graph?
neither
x = the original sale price and the formula is x - .40x =$276
Approach neg toward x through zero and above positive close to x
x2-x1 because the demonaitor of a quotient can never equal zero

22. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Conditional
Conditional
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
x = the original sale price and the formula is x - .40x =$276

23. What are the four steps for finding the inverse of a function?
even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
horizontal
(-infinity - +infinity)

24. what is the letter used to represent slope?
in a quotient
(-infinity - 0]U[0 - +infinity)
m
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

25. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
Line ascending to the right gradually
The second set of components of an ordered pair
even

26. Is an absolute value function even - odd or neither?
The secant line
Square Root
even
horizontal left

27. What is the line called that illustrates the straight line between the two points when showing average rate of change?
f(x)=+c and f(x)-c
4 -6 -9
in a quotient
The secant line

28. What is the formula for an identity function?
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
f(x) = x
Change in y / change in x = rise / run = y2-y1 / x2-x1
0<c<1 - horizontal stretching

29. What are the calculator instructions for absolute value?
As many as you like
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
parabola

30. What direction does f(x)-c move in standard absolute value formula?
even
down
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
(-infinity - +infinity)

31. What type of slope do horizontal lines have?
The minimum or maximum points
Yes - all the domains points to one range
[0 -+infinity)
same

32. What are two examples of composit functions?
Mirror image neg quadrant to that of the positive quandrant
A line passing through two distinct points
(-infinity - +infinity)
f of g and g of f

33. 4(x-7)=4x-28 is what type of an equation?
identity
Y=10
up
The slope of a line containing two points

34. What type of slope do you have when m=? and the line is vertical?
math 4 x - graph
undefined slope
Piecewise
Mirror image neg quadrant to that of the positive quandrant

35. Draw or discuss a constant function
Cannot be drawn in quizlet
x math 3 graph
up
(-infinity - +infinity)

36. What is an identity function?
45 degree angle
Set the x and y to zero and get the intercepts and then plot the points
perpendicular line
f(x)=IxI

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

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38. What is the domain for a standard quadratic function?
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
horizontal right
(-infinity - +infinity)
m

39. Which direction does f(x)=+c move in standard absolute value formula?
The secant line
A line passing through two distinct points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
up

40. Draw or discuss a decreasing function
(-infinity - +infinity)
up
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet

41. How are functions normally written?
As equations
undefined slope
The secant line
f(x+h)-f(x)/h h cannot equal zero

42. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
parabola
neither
undefined slope
4 -6 -9

43. What is the range for a standard quadratic function?
0<c<1 - horizontal stretching
2nd catalog (zero key -) abs(x) - graph
function notation
(-infinity - 0]U[0 - +infinity)

44. What is the range of a square root function?
Y
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
negative slope
[0 -+infinity)

45. What is the domain and range of a constant function?
x math 3 graph
zero slope
(-infinity - +infinity)
[0 -+infinity)

46. What is a relation?
Yes - all the domains points to one range
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Any set of ordered pairs
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.

47. What is the average rate of change formula?
Y
f(x2)-f(x1) / x2-x1
postiive slope
f(x^1)=f(x^2)

48. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
Y=x - identity function
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f(x)=+c and f(x)-c

49. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
postiive slope
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

50. x= a real number is what type of equation?
Mirror image neg quadrant to that of the positive quandrant
Conditional
f(x)=x^3
horizontal