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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 a standard quadratic function even - odd or neither?
x = the original sale price and the formula is x - .40x =$276
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
even
only one

2. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
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
x math 3 graph
x = the original sale price and the formula is x - .40x =$276
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

3. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
horizontal right
down
f(x)=suare root of x

4. Draw or discuss a constant function
x=a
Cannot be drawn in quizlet
x is the hours to repair the boat. $1603-532=anwser/63 = x
45 degree angle

5. Which direction does f(x)=+c move in standard absolute value formula?
up
Cannot be drawn in quizlet
Y=IxI
Absolute Value - Constant and Standard Quadratic

6. In an identity function if f(10)=x than what is y?
(-infinity - +infinity)
Y=10
f(x)=+c and f(x)-c
x^2

7. What does the average rate of change formula solve?
f(x)=+c and f(x)-c
The secant line
C>1 - horizontal shrinking
The slope of a line containing two points

8. What shape is the standard quadratic function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
parabola
(-infinity - +infinity)

9. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
Set the x and y to zero and get the intercepts and then plot the points
45 degree angle
The first set of components of an ordered pair

10. Is an absolute value function even - odd or neither?
The first set of components of an ordered pair
even
(-infinity - +infinity)
The opposite coordinates

11. x=no real numbers is what type of an equation?
inconsistant
The minimum or maximum points
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

12. What is the vertical line formula?
f(x)=suare root of x
f(x)=IxI
x=a
Any set of ordered pairs

13. What is the domain of the cube root function?
A line passing through two distinct points
f(x)=IxI
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

14. Which direction does f(x+c) move
[0 -+infinity)
x math 3 graph
f(x) = x
horizontal left

15. what is the formula for slope?
20+.05x=5+.10x x=minutes
Change in y / change in x = rise / run = y2-y1 / x2-x1
x2-x1 because the demonaitor of a quotient can never equal zero
When does a graph not define y as a function of x?

16. What is the vertex?
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 minimum or maximum points
45 degree angle
20+.05x=5+.10x x=minutes

17. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Square Root
f(x) = x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
neither

18. what is the letter used to represent slope?
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
m
identity

19. What are the calculator instructions for the cube root function?
math 4 x - graph
The slope of a line containing two points
f(x)=IxI
negative slope

20. What are two examples of composit functions?
(-infinity - 0]U[0 - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f of g and g of f
1 -2 -3

21. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
math 4 x - graph
up

22. Of the seven of algebra's common graph's how many are neither?
Yes because two x's or domains can point to one y
x^2
Square Root
neither

23. Is a constant function even - odd or neither?
even
identity
negative slope
The single number y=

24. What is slope?
inconsistant
A line passing through two distinct points
(-infinity - 0]U[0 - +infinity)
postiive slope

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

26. 4(x-7)=4x+28 is what type of an equation?
inconsitent
Equation of a line
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
Square Root

27. 4x+5x=8x is what type of an equation?
0<c<1 - horizontal stretching
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Conditional

28. Standard absolute value - horizontal shift formulas for left and right
f(x)=x^3
f(x+c) and f(x-c)
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)

29. What does linear equation mean?
The single number y=
f(x+c) and f(x-c)
Mirror image neg quadrant to that of the positive quandrant
Equation of a line

30. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
negative inverse
45 degree angle
4 -6 -9
Approach neg toward x through zero and above positive close to x

31. x=all real numbers is what type of an equation?
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
identity
A V
in a quotient

32. Draw or discuss an increasing function
Cannot be drawn in quizlet
45 degree angle
odd
C>1 - horizontal shrinking

33. What is the range for a standard quadratic function?
postiive slope
f(x^1)=f(x^2)
(-infinity - 0]U[0 - +infinity)
inconsitent

34. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Line ascending to the right gradually
f(x+h)-f(x)/h h cannot equal zero
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
20+.05x=5+.10x x=minutes

35. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
1 -2 -3
Cannot be drawn in quizlet
function notation

36. What is the average rate of change formula?
Any set of ordered pairs
f(x2)-f(x1) / x2-x1
A line passing through two distinct points
2nd key - x^2 - graph

37. y=f(cx) - what does this formula represent?
f(x)=x^3
C>1 - horizontal shrinking
neither
x2-x1 because the demonaitor of a quotient can never equal zero

38. What type of slope do you have when a line falls left to right and m<0?
1 -2 -3
f(x)=IxI
negative slope
x=a

39. Is the standard cubic function odd - even or neither?
f(x) = x
perpendicular line
math 4 x - graph
odd

40. What type of slope do you have when a line rises from left to right and m>0?
x = the original sale price and the formula is x - .40x =$276
postiive slope
(-infinity - 0]U[0 - +infinity)
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

41. What is an identity function?
45 degree angle
x2-x1 because the demonaitor of a quotient can never equal zero
f(x+h)-f(x)/h h cannot equal zero
The first set of components of an ordered pair

42. What direction does f(x)-c move in standard absolute value formula?
because the demintor of a quotient can never equal zero
f(x+c) and f(x-c)
down
C>1 - horizontal shrinking

43. What does the graph of the cube root function look like on the graph?
A V
only one
inconsitent
Approach neg toward x through zero and above positive close to x

44. What is the slope intercept formula? Define all the variables.
horizontal
odd
postiive slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

45. What are the calculator instructions for the standard cubic function?
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
Any set of ordered pairs
x math 3 graph

46. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
(-infinity - +infinity)
odd
Y

47. What type of slope do horizontal lines have?
same
(-infinity - +infinity)
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
f(x+c) and f(x-c)

48. Standard absolute value - vertical shift formulas for positve and negative
Mirror image neg quadrant to that of the positive quandrant
The second set of components of an ordered pair
f(x)=+c and f(x)-c
[0 -+infinity)

49. What is the vertical line test?
When does a graph not define y as a function of x?
f(x)=IxI
horizontal right
(-infinity - 0]U[0 - +infinity)

50. Is the square root function odd - even or neither?
math 4 x - graph
horizontal right
identity
neither