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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. A flat line underlining one vertical line is a symbol for
2nd catalog (zero key -) abs(x) - graph
Y=x - identity function
perpendicular line
(f+g) - (f-g) - (fg) - (f/g) all of x

2. What is the formula in both horizontal stretching and horizontal shrinking?
x^2
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x)=+c and f(x)-c

3. What is the formula for the cube root function?
horizontal right
(-infinity - +infinity)
Conditional
f(x)=3 square root x

4. In an identity function if f(10)=x than what is y?
horizontal
f(x+c) and f(x-c)
identity
Y=10

5. 4(x-7)=4x-28 is what type of an equation?
2nd key - x^2 - graph
identity
0<c<1 - horizontal stretching
Conditional

6. x= a real number is what type of equation?
undefined slope
negative slope
Conditional
f(x2)-f(x1) / x2-x1

7. 4(x-7)=4x+28 is what type of an equation?
parabola - up one and right three
inconsitent
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
because the demintor of a quotient can never equal zero

8. Of the seven of algebra's common graph's how many are odd?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
A V
Three odd - cube root - identity - standard cubic
Change in y / change in x = rise / run = y2-y1 / x2-x1

9. What type of line is an identity function?
45 degree angle
Piecewise
The single number y=
Conditional

10. Is the square root function odd - even or neither?
neither
f(x)=x^3
Y
horizontal

11. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The opposite coordinates
[0 -+infinity)
Equation of a line
The secant line

12. 4x+5x=8x is what type of an equation?
Y=10
Conditional
Set the x and y to zero and get the intercepts and then plot the points
negative inverse

13. What is the domain of an identity function?
As equations
(-infinity - +infinity)
math 4 x - graph
neither

14. What are the calculator instructions for the cube root function?
The single number y=
Y=x^2 - graph
math 4 x - graph
(-infinity - +infinity)

15. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
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
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic

16. What does the average rate of change formula solve?
The slope of a line containing two points
identity
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
1 -2 -3

17. how many domains can you have pointing to one range?
Y= then enter the number then press graph
Y=x^2 - graph
As many as you like
f(x+h)-f(x)/h h cannot equal zero

18. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
[0 -+infinity)
inconsistant
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

19. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
45 degree angle
x = the original sale price and the formula is x - .40x =$276
even
20+.05x=5+.10x x=minutes

20. What is the domain of a square root function?
1 -2 -3
odd
Conditional
[0 -+infinity)

21. What is the range of the cube root function?
0<c<1 - horizontal stretching
(-infinity - +infinity)
perpendicular line
Conditional

22. What does the graph of the cube root function look like on the graph?
Y
Approach neg toward x through zero and above positive close to x
f(x)=3 square root x
identity

23. What does the square root function look like on a graph?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
even
(f+g) - (f-g) - (fg) - (f/g) all of x
Line ascending to the right gradually

24. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
postiive 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)

25. What type of slope do horizontal lines have?
Yes because two x's or domains can point to one y
Y= then enter the number then press graph
same
20+.05x=5+.10x x=minutes

26. What is the average rate of change formula?
undefined slope
The second set of components of an ordered pair
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1

27. What type of slope do you have when the line is horizontal and m=0?
zero slope
f(x)=+c and f(x)-c
undefined
As many as you like

28. What is the vertical line formula?
x=a
As many as you like
4 -6 -9
(-infinity - +infinity)

29. Is an absolute value function even - odd or neither?
math 4 x - graph
Y=10
even
1 -2 -3

30. What is the range of the constant function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The single number y=
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

31. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
because the demintor of a quotient can never equal zero
f(x^1)=f(x^2)
same
Yes - all the domains points to one range

32. Two vertical lines side by side are a symbol for what
f(x2)-f(x1) / x2-x1
parraelle line
[0 -+infinity)
The second set of components of an ordered pair

33. When is the only time (-infinity - +infinity) is not the domain?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
in a quotient
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1

34. What are the calculator instructions for the standard cubic function?
even
x math 3 graph
As equations
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

35. How do you graph Ax+By+C=0?
f(x)=x^3
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
Set the x and y to zero and get the intercepts and then plot the points
Y=IxI

36. x=all real numbers is what type of an equation?
Square Root
The minimum or maximum points
identity
Set the x and y to zero and get the intercepts and then plot the points

37. What type of slope do you have when a line rises from left to right and m>0?
x2-x1 because the demonaitor of a quotient can never equal zero
Y
postiive slope
Set the x and y to zero and get the intercepts and then plot the points

38. What points do you use to plot the inverse on a graph?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y
The opposite coordinates
x is the hours to repair the boat. $1603-532=anwser/63 = x

39. Is a standard quadratic function even - odd or neither?
math 4 x - graph
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=
even

40. What is the range of a square root function?
Three odd - cube root - identity - standard cubic
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
[0 -+infinity)
Line ascending to the right gradually

41. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Mirror image neg quadrant to that of the positive quandrant
same
1 -2 -3
As many as you like

42. Which direction does f(x+c) move
Square Root
because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet
horizontal left

43. What type of line is a constant function?
As equations
Yes because two x's or domains can point to one y
horizontal
When does a graph not define y as a function of x?

44. Why can h not equal zero in the difference of a quotient function formula?
The first set of components of an ordered pair
Cannot be drawn in quizlet
because the demintor of a quotient can never equal zero
Equation of a line

45. What are two examples of composit functions?
Line ascending to the right gradually
f of g and g of f
horizontal left
(-infinity - +infinity)

46. what is a range?
Y
Set the x and y to zero and get the intercepts and then plot the points
function notation
The second set of components of an ordered pair

47. x=no real numbers is what type of an equation?
(-infinity - +infinity)
f(x^1)=f(x^2)
inconsistant
postiive slope

48. Of the seven of algebra's common graph's how many are neither?
x2-x1 because the demonaitor of a quotient can never equal zero
Square Root
Mirror image neg quadrant to that of the positive quandrant
Any set of ordered pairs

49. What is the domain for a standard quadratic function?
2nd key - x^2 - graph
horizontal
undefined slope
(-infinity - +infinity)

50. What are the steps for solving a word problem?
f of g and g of f
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
odd
f(x+h)-f(x)/h h cannot equal zero