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

2. What is the domain of the cube root function?
f of g and g of f
Change in y / change in x = rise / run = y2-y1 / x2-x1
The secant line
(-infinity - +infinity)

3. What is the range for a standard quadratic function?
Piecewise
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
As many as you like

4. Draw or discuss a decreasing 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
Cannot be drawn in quizlet
f(x)=IxI

5. How do you calculate a constant function in your calculator?
f of g and g of f
Y= then enter the number then press graph
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

6. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
2nd key - x^2 - graph
Cannot be drawn in quizlet

7. What does the absolute value function look like?
A V
1 -2 -3
horizontal
[0 -+infinity)

8. What does the square root function look like on a graph?
Y=b
Line ascending to the right gradually
x=a
undefined

9. What is the average rate of change formula?
(-infinity - 0]U[0 - +infinity)
The minimum or maximum points
in a quotient
f(x2)-f(x1) / x2-x1

10. what is the letter used to represent slope?
x2-x1 because the demonaitor of a quotient can never equal zero
inconsitent
m
C>1 - horizontal shrinking

11. $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?
(-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
[0 -+infinity)
As many as you like

12. What type of line is a constant function?
C>1 - horizontal shrinking
horizontal
parabola
Approach neg toward x through zero and above positive close to x

13. What does the standard cubic function look like on a graph?
(-infinity - 0]U[0 - +infinity)
parabola - up one and right three
horizontal
Mirror image neg quadrant to that of the positive quandrant

14. Of the seven of algebra's common graph's how many are odd?
math 4 x - graph
f(x) = x
Y= then enter the number then press graph
Three odd - cube root - identity - standard cubic

15. What is the domain for a standard quadratic function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
negative inverse
2nd key - x^2 - graph

16. What is the formula for the standard cubic function?
Square Root
f(x)=x^3
horizontal left
f(x)=suare root of x

17. What are the four steps for solving a linear equation?
Cannot be drawn in quizlet
f(x)=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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.

18. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
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
parabola - up one and right three
Y=x^2 - graph

19. What is the domain for the standard cubic function?
only one
f(x)=3 square root x
The minimum or maximum points
(-infinity - +infinity)

20. Is the standard cubic function odd - even or neither?
Y=b
zero slope
odd
(-infinity - +infinity)

21. What type of slope do horizontal lines have?
[0 -+infinity)
f of g and g of f
perpendicular line
same

22. What type of slope do you have when a line falls left to right and m<0?
perpendicular line
45 degree angle
negative slope
Square Root

23. what is a range?
Y=10
The second set of components of an ordered pair
x=a
(-infinity - +infinity)

24. y=f(cx) - what does this formula represent?
because the demintor of a quotient can never equal zero
m
C>1 - horizontal shrinking
Three odd - cube root - identity - standard cubic

25. What is the vertical line formula?
x is the hours to repair the boat. $1603-532=anwser/63 = x
x=a
because the demintor of a quotient can never equal zero
Approach neg toward x through zero and above positive close to x

26. What is the formula for an absolute value function?
f(x)=IxI
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 opposite coordinates
[0 -+infinity)

27. Standard absolute value - vertical shift formulas for positve and negative
perpendicular line
Piecewise
Set the x and y to zero and get the intercepts and then plot the points
f(x)=+c and f(x)-c

28. 4(x-7)=4x-28 is what type of an equation?
identity
f(x^1)=f(x^2)
inconsistant
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.

29. When is the only time (-infinity - +infinity) is not the domain?
horizontal
undefined
2nd key - x^2 - graph
in a quotient

30. x=no real numbers is what type of an equation?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
inconsistant
odd
(-infinity - 0]U[0 - +infinity)

31. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(-infinity - +infinity)
4 -6 -9
zero slope
parabola - up one and right three

32. Of the seven of algebra's common graph's how many are neither?
even
Square Root
Y=b
Equation of a line

33. Draw or discuss a constant function
inconsistant
The first set of components of an ordered pair
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet

34. what is the formula for slope?
1 -2 -3
Equation of a line
Change in y / change in x = rise / run = y2-y1 / x2-x1
The slope of a line containing two points

35. What is an identity function?
same
Cannot be drawn in quizlet
45 degree angle
[0 -+infinity)

36. A flat line underlining one vertical line is a symbol for
Absolute Value - Constant and Standard Quadratic
The opposite coordinates
even
perpendicular line

37. What are the steps for solving a word problem?
f(x+c) and f(x-c)
(-infinity - +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
f(x^1)=f(x^2)

38. f(x) = x^2+3x+5 - what type of formula is this?
parabola - up one and right three
function notation
Cannot be drawn in quizlet
[0 -+infinity)

39. What does linear equation mean?
Equation of a line
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The secant line
Mirror image neg quadrant to that of the positive quandrant

40. 4x+5x=8x is what type of an equation?
Conditional
f(x^1)=f(x^2)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=IxI

41. What type of line is a constant function?
[0 -+infinity)
horizontal
undefined slope
The secant line

42. What is the range for the standard cubic function?
(-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
postiive slope
20+.05x=5+.10x x=minutes

43. Which direction does f(x)=+c move in standard absolute value formula?
f(x)=+c and f(x)-c
1 -2 -3
in a quotient
up

44. What type of slope do you have when m=? and the line is vertical?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
perpendicular line
postiive slope
undefined slope

45. Of the seven of algebra's common graph's how many are even?
f(x)=3 square root x
Absolute Value - Constant and Standard Quadratic
function notation
undefined slope

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

47. How would this formula move f(x)=(x+1)^2-3
Y=x - identity function
parabola - up one and right three
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1

48. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
The first set of components of an ordered pair
20+.05x=5+.10x x=minutes
Absolute Value - Constant and Standard Quadratic

49. What are the calculator instructions for a standard quadratic equation?
When does a graph not define y as a function of x?
Set the x and y to zero and get the intercepts and then plot the points
Y=x^2 - graph
(-infinity - +infinity)

50. What type of slope do you have when the line is horizontal and m=0?
(-infinity - +infinity)
zero slope
even
Conditional