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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. y=f(cx) - what does this formula represent?
function notation
C>1 - horizontal shrinking
Approach neg toward x through zero and above positive close to x
4 -6 -9

2. What are the calculator instructions for the standard cubic function?
[0 -+infinity)
horizontal right
x math 3 graph
(f+g) - (f-g) - (fg) - (f/g) all of x

3. What shape is the standard quadratic function?
Conditional
2nd key - x^2 - graph
undefined
parabola

4. Is an absolute value function even - odd or neither?
f(x)=x^3
undefined slope
inconsitent
even

5. 4(x-7)=4x+28 is what type of an equation?
(f+g) - (f-g) - (fg) - (f/g) all of x
Any set of ordered pairs
inconsitent
Piecewise

6. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
identity
Absolute Value - Constant and Standard Quadratic
x math 3 graph

7. Two vertical lines side by side are a symbol for what
parraelle line
The slope of a line containing two points
2nd key - x^2 - graph
(-infinity - +infinity)

8. What is the domain for a standard quadratic function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Conditional
The minimum or maximum points
(-infinity - +infinity)

9. What is the range of a square root function?
Set the x and y to zero and get the intercepts and then plot the points
[0 -+infinity)
even
Equation of a line

10. Standard absolute value - vertical shift formulas for positve and negative
f(x+c) and f(x-c)
f(x)=+c and f(x)-c
math 4 x - graph
parabola - up one and right three

11. What is the domain of the cube root function?
odd
[0 -+infinity)
(-infinity - +infinity)
Cannot be drawn in quizlet

12. What does linear equation mean?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
x2-x1 because the demonaitor of a quotient can never equal zero
Equation of a line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

13. What type of function would you use to calculate the most advantageous cell phone plan?
When does a graph not define y as a function of x?
Piecewise
neither
20+.05x=5+.10x x=minutes

14. What is the domain for an absolute value function?
Any set of ordered pairs
f(x^1)=f(x^2)
(-infinity - +infinity)
only one

15. What type of slope do vertical lines have?
4 -6 -9
The first set of components of an ordered pair
even
undefined

16. How do you graph Ax+By+C=0?
(-infinity - +infinity)
Y=IxI
negative inverse
Set the x and y to zero and get the intercepts and then plot the points

17. Is the standard cubic function odd - even or neither?
Conditional
4 -6 -9
odd
f(x2)-f(x1) / x2-x1

18. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
The opposite coordinates
even
odd

19. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
horizontal
The minimum or maximum points
even

20. what is the letter used to represent slope?
f(x+c) and f(x-c)
[0 -+infinity)
m
math 4 x - graph

21. How do you calculate a constant function in your calculator?
parraelle line
Y
As many as you like
Y= then enter the number then press graph

22. x=all real numbers is what type of an equation?
Change in y / change in x = rise / run = y2-y1 / x2-x1
As many as you like
identity
(-infinity - 0]U[0 - +infinity)

23. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
1 -2 -3
f(x)=+c and f(x)-c
up

24. What is an identity function?
odd
f(x) = x
(-infinity - +infinity)
45 degree angle

25. 4(x-7)=4x-28 is what type of an equation?
down
identity
even
45 degree angle

26. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
Piecewise
because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet

27. what is a range?
The second set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
The secant line

28. What direction does f(x)-c move in standard absolute value formula?
Y=b
down
f(x)=x^3
no because you cannot have one domain pointing at two y's or ranges

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

30. What is the line called that illustrates the straight line between the two points when showing average rate of change?
because the demintor of a quotient can never equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
2nd catalog (zero key -) abs(x) - graph
The secant line

31. What is the formula for the square root function?
f(x)=suare root of x
Three odd - cube root - identity - standard cubic
f(x)=3 square root x
f(x)=+c and f(x)-c

32. What is the average rate of change formula?
Y
(-infinity - +infinity)
Y=x^2 - graph
f(x2)-f(x1) / x2-x1

33. what can never equal zero in the slope formula and why?
Y
x2-x1 because the demonaitor of a quotient can never equal zero
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
x = the original sale price and the formula is x - .40x =$276

34. Is an identity function even - odd or neither?
f(x)=x^3
Three odd - cube root - identity - standard cubic
odd
[0 -+infinity)

35. Of the seven of algebra's common graph's how many are neither?
x^2
The minimum or maximum points
Square Root
f(x)=3 square root x

36. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Y=10
neither
undefined slope

37. What type of line is an identity function?
45 degree angle
m
C>1 - horizontal shrinking
Conditional

38. What is the range for a standard quadratic function?
Conditional
(-infinity - 0]U[0 - +infinity)
f(x+c) and f(x-c)
f(x) = x

39. What points do you use to plot the inverse on a graph?
f(x)=IxI
The opposite coordinates
horizontal
(-infinity - +infinity)

40. how many domains can you have pointing to one range?
The minimum or maximum points
As many as you like
(-infinity - +infinity)
f(x)=x^3

41. Draw or discuss a constant function
(-infinity - +infinity)
Cannot be drawn in quizlet
f(x^1)=f(x^2)
x=a

42. x=no real numbers is what type of an equation?
Y= then enter the number then press graph
Cannot be drawn in quizlet
f(x2)-f(x1) / x2-x1
inconsistant

43. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and what is x?
Piecewise
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)
x is the hours to repair the boat. $1603-532=anwser/63 = x

44. What is a function?
The slope of a line containing two points
x = the original sale price and the formula is x - .40x =$276
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
x2-x1 because the demonaitor of a quotient can never equal zero

45. What is the domain and range of a constant function?
horizontal
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
odd

46. f(x) = x^2+3x+5 - what type of formula is this?
2nd key - x^2 - graph
function notation
parraelle line
[0 -+infinity)

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

48. What are the four steps for solving a linear equation?
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.
parraelle line
x = the original sale price and the formula is x - .40x =$276
[0 -+infinity)

49. 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.
parabola - up one and right three
f(x)=IxI
Cannot be drawn in quizlet

50. What is the formula for the standard cubic function?
Set the x and y to zero and get the intercepts and then plot the points
The first set of components of an ordered pair
f(x)=x^3
(f+g) - (f-g) - (fg) - (f/g) all of x