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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. What is the range for an absolute value function?
same
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
horizontal left

2. Draw or discuss a decreasing function
(-infinity - +infinity)
Cannot be drawn in quizlet
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
no because you cannot have one domain pointing at two y's or ranges

3. What is the domain of an identity function?
Any set of ordered pairs
f(x)=suare root of x
(-infinity - +infinity)
The second set of components of an ordered pair

4. What is the slope intercept formula? Define all the variables.
The minimum or maximum points
Cannot be drawn in quizlet
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The opposite coordinates

5. Is the square root function odd - even or neither?
Approach neg toward x through zero and above positive close to x
no because you cannot have one domain pointing at two y's or ranges
Y=b
neither

6. What is the formula for the square root function?
f(x)=suare root of x
negative inverse
The secant line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

7. 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.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
x math 3 graph
(-infinity - 0]U[0 - +infinity)

8. What type of slope do you have when a line rises from left to right and m>0?
same
(f+g) - (f-g) - (fg) - (f/g) all of x
postiive slope
(-infinity - +infinity)

9. What are the calculator instructions for a standard quadratic equation?
function notation
Y
Y=x^2 - graph
The opposite coordinates

10. What type of slope do vertical lines have?
odd
undefined
Yes because two x's or domains can point to one y
parabola - up one and right three

11. Is an absolute value function even - odd or neither?
Cannot be drawn in quizlet
even
The secant line
f(x2)-f(x1) / x2-x1

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

13. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
(f+g) - (f-g) - (fg) - (f/g) all of x
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
The single number y=

14. What is the formula for the standard cubic function?
horizontal right
x = the original sale price and the formula is x - .40x =$276
f(x)=x^3
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

15. 4x+5x=8x is what type of an equation?
A line passing through two distinct points
The secant line
Conditional
f(x)=x^3

16. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
The minimum or maximum points
perpendicular line
Y=b

17. What is a domain?
As many as you like
The first set of components of an ordered pair
x math 3 graph
Y=IxI

18. What is the range of a square root function?
[0 -+infinity)
horizontal right
C>1 - horizontal shrinking
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

19. What is the formula in both horizontal stretching and horizontal shrinking?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
Square Root
x math 3 graph

20. In an identity function if f(10)=x than what is y?
f(x2)-f(x1) / x2-x1
Y=10
Any set of ordered pairs
f(x)=IxI

21. x=all real numbers is what type of an equation?
identity
The minimum or maximum points
Change in y / change in x = rise / run = y2-y1 / x2-x1
x is the hours to repair the boat. $1603-532=anwser/63 = x

22. What is another way of writing the absolute value function?
horizontal
Y=IxI
Yes because two x's or domains can point to one y
The first set of components of an ordered pair

23. what is the letter used to represent slope?
(-infinity - +infinity)
horizontal
20+.05x=5+.10x x=minutes
m

24. What is the domain of a square root function?
The opposite coordinates
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Line ascending to the right gradually
[0 -+infinity)

25. What does the average rate of change formula solve?
The slope of a line containing two points
horizontal left
As equations
in a quotient

26. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
f(x^1)=f(x^2)
1 -2 -3
(-infinity - +infinity)
x math 3 graph

27. Of the seven of algebra's common graph's how many are neither?
45 degree angle
Set the x and y to zero and get the intercepts and then plot the points
Square Root
x = the original sale price and the formula is x - .40x =$276

28. What is the range of the cube root function?
(-infinity - 0]U[0 - +infinity)
only one
Yes - all the domains points to one range
(-infinity - +infinity)

29. What is the formula for an identity function?
(-infinity - +infinity)
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
f(x) = x

30. How do you graph Ax+By+C=0?
down
Absolute Value - Constant and Standard Quadratic
Set the x and y to zero and get the intercepts and then plot the points
f(x)=+c and f(x)-c

31. What direction does f(x)-c move in standard absolute value formula?
in a quotient
Y=10
down
Equation of a line

32. Standard absolute value - horizontal shift formulas for left and right
parabola - up one and right three
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
2nd catalog (zero key -) abs(x) - graph
f(x+c) and f(x-c)

33. What is the vertical line formula?
2nd catalog (zero key -) abs(x) - graph
x^2
x=a
undefined slope

34. What does the square root function look like on a graph?
Line ascending to the right gradually
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.
45 degree angle
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.

35. Draw or discuss a constant function
Cannot be drawn in quizlet
zero slope
As many as you like
20+.05x=5+.10x x=minutes

36. What equation does every line have? Discuss the variables.
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.
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+g) - (f-g) - (fg) - (f/g) all of x
f(x)=suare root of x

37. How are functions normally written?
As equations
negative inverse
Conditional
Conditional

38. What is the range of the constant function?
f(x)=IxI
The single number y=
45 degree angle
undefined slope

39. What is the range for the standard cubic function?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
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
m

40. What does the absolute value function look like?
A V
(-infinity - +infinity)
x math 3 graph
(-infinity - +infinity)

41. Is an identity function even - odd or neither?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
odd
f(x)=3 square root x
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

42. Which direction does f(x)=+c move in standard absolute value formula?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
math 4 x - graph
up
Conditional

43. What type of slope do you have when the line is horizontal and m=0?
f(x^1)=f(x^2)
zero slope
Yes because two x's or domains can point to one y
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

44. How would this formula move f(x)=(x+1)^2-3
Conditional
horizontal left
x2-x1 because the demonaitor of a quotient can never equal zero
parabola - up one and right three

45. x=no real numbers is what type of an equation?
even
x^2
inconsistant
Line ascending to the right gradually

46. Is the standard cubic function odd - even or neither?
function notation
(-infinity - +infinity)
odd
Line ascending to the right gradually

47. What is the horizontal line formula?
f(x)=IxI
negative inverse
Y=10
Y=b

48. 4(x-7)=4x-28 is what type of an equation?
identity
even
(-infinity - +infinity)
As many as you like

49. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Yes because two x's or domains can point to one y
1 -2 -3
f(x)=+c and f(x)-c

50. What type of line is a constant function?
The opposite coordinates
[0 -+infinity)
horizontal
Cannot be drawn in quizlet