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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. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Cannot be drawn in quizlet
Y=b
identity

2. What is the vertex?
A V
The opposite coordinates
The minimum or maximum points
C>1 - horizontal shrinking

3. how many domains can you have pointing to one range?
parraelle line
As many as you like
down
undefined slope

4. Which direction does f(x)=+c move in standard absolute value formula?
odd
2nd key - x^2 - graph
because the demintor of a quotient can never equal zero
up

5. What points do you use to plot the inverse on a graph?
The opposite coordinates
x is the hours to repair the boat. $1603-532=anwser/63 = x
2nd catalog (zero key -) abs(x) - graph
perpendicular line

6. What does the graph of the cube root function look like on the graph?
Any set of ordered pairs
same
Mirror image neg quadrant to that of the positive quandrant
Approach neg toward x through zero and above positive close to x

7. What is the formula in both horizontal stretching and horizontal shrinking?
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
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle

8. Draw or discuss a decreasing function
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.
Cannot be drawn in quizlet
Y=b
45 degree angle

9. x=all real numbers is what type of an equation?
Y
(f+g) - (f-g) - (fg) - (f/g) all of x
identity
horizontal right

10. What type of line is an identity function?
45 degree angle
even
Y=IxI
Y=10

11. What is the formula for the cube root function?
f(x)=3 square root x
f(x) = x
Yes - all the domains points to one range
(-infinity - 0]U[0 - +infinity)

12. $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
The secant line
f(x)=IxI
even

13. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
(-infinity - +infinity)
inconsistant
in a quotient

14. A flat line underlining one vertical line is a symbol for
(f+g) - (f-g) - (fg) - (f/g) all of x
perpendicular line
Set the x and y to zero and get the intercepts and then plot the points
[0 -+infinity)

15. y=f(cx) - what does this formula represent?
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
only one
C>1 - horizontal shrinking
Mirror image neg quadrant to that of the positive quandrant

16. Is an identity function even - odd or neither?
Any set of ordered pairs
identity
Y=b
odd

17. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
zero slope
x math 3 graph
2nd catalog (zero key -) abs(x) - graph

18. What is the standard quadratic function?
Any set of ordered pairs
(-infinity - +infinity)
x^2
Piecewise

19. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
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
f(x)=+c and f(x)-c
(-infinity - +infinity)

20. What are the steps for solving a word problem?
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.
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
0<c<1 - horizontal stretching
(-infinity - +infinity)

21. What equation does every line have? Discuss the variables.
0<c<1 - horizontal stretching
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.
Approach neg toward x through zero and above positive close to x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

22. What is another way of writing the absolute value function?
Y= then enter the number then press graph
Y=IxI
Cannot be drawn in quizlet
The second set of components of an ordered pair

23. How would this formula move f(x)=(x+1)^2-3
The single number y=
x = the original sale price and the formula is x - .40x =$276
parraelle line
parabola - up one and right three

24. Standard absolute value - horizontal shift formulas for left and right
no because you cannot have one domain pointing at two y's or ranges
f(x+c) and f(x-c)
f(x)=3 square root x
f(x2)-f(x1) / x2-x1

25. x= a real number is what type of equation?
Conditional
undefined slope
The slope of a line containing two points
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

26. What type of slope do horizontal lines have?
same
f of g and g of f
zero slope
parraelle line

27. Of the seven of algebra's common graph's how many are odd?
negative slope
Three odd - cube root - identity - standard cubic
same
x math 3 graph

28. Two vertical lines side by side are a symbol for what
parabola
Cannot be drawn in quizlet
parraelle line
x is the hours to repair the boat. $1603-532=anwser/63 = x

29. What is slope?
Absolute Value - Constant and Standard Quadratic
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
undefined
A line passing through two distinct points

30. What type of slope do you have when the line is horizontal and m=0?
negative inverse
x^2
zero slope
f(x2)-f(x1) / x2-x1

31. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
down
inconsitent

32. What is the vertical line test?
[0 -+infinity)
Set the x and y to zero and get the intercepts and then plot the points
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
When does a graph not define y as a function of x?

33. What is the range of an identity function?
(-infinity - +infinity)
The first set of components of an ordered pair
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
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.

34. What is the domain for a standard quadratic function?
Yes because two x's or domains can point to one y
(-infinity - +infinity)
f(x)=+c and f(x)-c
x math 3 graph

35. What is the domain for the standard cubic function?
up
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f(x^1)=f(x^2)

36. what is the formula for slope?
up
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=IxI
negative inverse

37. 4(x-7)=4x+28 is what type of an equation?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
inconsitent
even
x^2

38. Is the square root function odd - even or neither?
Y= then enter the number then press graph
neither
f(x)=suare root of x
because the demintor of a quotient can never equal zero

39. In an identity function if f(10)=x than what is y?
Y=10
x2-x1 because the demonaitor of a quotient can never equal zero
identity
no because you cannot have one domain pointing at two y's or ranges

40. what can never equal zero in the slope formula and why?
Line ascending to the right gradually
f(x)=x^3
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
x2-x1 because the demonaitor of a quotient can never equal zero

41. Is an absolute value function even - odd or neither?
inconsitent
zero slope
even
undefined

42. What is the formula for to calculate the difference of a quotient 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
45 degree angle
The first set of components of an ordered pair
f(x+h)-f(x)/h h cannot equal zero

43. What is the range for the standard cubic function?
(-infinity - +infinity)
Y=10
Line ascending to the right gradually
Absolute Value - Constant and Standard Quadratic

44. What are the four steps for solving a linear equation?
Y
x = the original sale price and the formula is x - .40x =$276
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

45. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
The single number y=
in a quotient
x=a

46. What is the slope of a perpendicular line?
function notation
negative inverse
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
A line passing through two distinct points

47. How are functions normally written?
As equations
down
A line passing through two distinct points
f(x+c) and f(x-c)

48. What does the average rate of change formula solve?
The slope of a line containing two points
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.
up
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

49. What is the formula for an identity function?
even
f(x) = x
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

50. 4x+5x=8x is what type of an equation?
Equation of a line
A V
Conditional
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