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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. 4(x-7)=4x+28 is what type of an equation?
f(x)=3 square root x
x = the original sale price and the formula is x - .40x =$276
inconsitent
Any set of ordered pairs

2. What is the horizontal line formula?
(-infinity - 0]U[0 - +infinity)
Y=b
identity
(-infinity - +infinity)

3. Why can h not equal zero in the difference of a quotient function formula?
Line ascending to the right gradually
x^2
because the demintor of a quotient can never equal zero
Equation of a line

4. Standard absolute value - horizontal shift formulas for left and right
odd
parabola
f(x+c) and f(x-c)
negative slope

5. Of the seven of algebra's common graph's how many are even?
[0 -+infinity)
horizontal left
Absolute Value - Constant and Standard Quadratic
identity

6. Is an absolute value function even - odd or neither?
even
Equation of a line
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)

7. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
f(x)=suare root of x
Square Root
Absolute Value - Constant and Standard Quadratic

8. What is a domain?
As equations
horizontal right
The first set of components of an ordered pair
horizontal left

9. How do you calculate a constant function in your calculator?
Any set of ordered pairs
Y= then enter the number then press graph
even
only one

10. What is the formula for the square root function?
even
f(x)=suare root of x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
odd

11. What is the domain for the standard cubic function?
Conditional
(-infinity - +infinity)
x=a
even

12. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
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
4 -6 -9
A line passing through two distinct points
m

13. Is the square root function odd - even or neither?
neither
[0 -+infinity)
Y=x - identity function
negative inverse

14. What shape is the standard quadratic function?
parabola
down
Absolute Value - Constant and Standard Quadratic
2nd catalog (zero key -) abs(x) - graph

15. f(x) = x^2+3x+5 - what type of formula is this?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
function notation
Square Root

16. What type of slope do vertical lines have?
undefined
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
inconsitent

17. 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.
45 degree angle
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)

18. What is the range of the cube root function?
even
(-infinity - +infinity)
Square Root
Three odd - cube root - identity - standard cubic

19. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
Y=x^2 - graph
math 4 x - graph
Set the x and y to zero and get the intercepts and then plot the points

20. What is the formula for an identity function?
f(x) = x
The first set of components of an ordered pair
x math 3 graph
Y=10

21. What is the range of the constant function?
f(x+c) and f(x-c)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The single number y=
odd

22. How would this formula move f(x)=(x+1)^2-3
horizontal left
m
x = the original sale price and the formula is x - .40x =$276
parabola - up one and right three

23. What is the domain of a square root function?
math 4 x - graph
[0 -+infinity)
When does a graph not define y as a function of x?
(-infinity - 0]U[0 - +infinity)

24. What does linear equation mean?
(-infinity - +infinity)
The slope of a line containing two points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Equation of a line

25. What type of slope do you have when m=? and the line is vertical?
undefined slope
parabola
down
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.

26. What are the calculator instructions for the standard cubic function?
As equations
(-infinity - 0]U[0 - +infinity)
x math 3 graph
Piecewise

27. Draw or discuss an increasing function
f(x2)-f(x1) / x2-x1
m
(-infinity - +infinity)
Cannot be drawn in quizlet

28. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
x=a
f(x)=3 square root x
negative inverse

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

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30. what can never equal zero in the slope formula and why?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
x2-x1 because the demonaitor of a quotient can never equal zero
C>1 - horizontal shrinking
Y= then enter the number then press graph

31. What is the domain for a standard quadratic function?
neither
f(x+h)-f(x)/h h cannot equal zero
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.
(-infinity - +infinity)

32. What type of line is a constant function?
horizontal
Yes because two x's or domains can point to one y
math 4 x - graph
f(x+h)-f(x)/h h cannot equal zero

33. What does the average rate of change formula solve?
x^2
The slope of a line containing two points
f(x)=suare root of x
same

34. What type of line is a constant function?
As equations
Y=b
Piecewise
horizontal

35. What is a relation?
4 -6 -9
Any set of ordered pairs
Conditional
undefined slope

36. Is an identity function even - odd or neither?
horizontal
The secant line
20+.05x=5+.10x x=minutes
odd

37. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
Conditional
Yes because two x's or domains can point to one y
Y

38. Standard absolute value - vertical shift formulas for positve and negative
2nd key - x^2 - graph
f(x)=+c and f(x)-c
[0 -+infinity)
undefined

39. Is a constant function even - odd or neither?
The opposite coordinates
(-infinity - +infinity)
x=a
even

40. What are two examples of composit functions?
f of g and g of f
undefined slope
(-infinity - +infinity)
(-infinity - +infinity)

41. What is the vertex?
undefined slope
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
parabola - up one and right three
The minimum or maximum points

42. 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?
x is the hours to repair the boat. $1603-532=anwser/63 = x
negative slope
even
Y= then enter the number then press graph

43. What is the range of a square root function?
undefined slope
same
[0 -+infinity)
f(x+c) and f(x-c)

44. Draw or discuss a decreasing function
same
Cannot be drawn in quizlet
[0 -+infinity)
f(x)=+c and f(x)-c

45. What are the calculator instructions for absolute value?
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.
Cannot be drawn in quizlet
2nd catalog (zero key -) abs(x) - graph
parabola - up one and right three

46. What is the formula for the standard cubic function?
Conditional
0<c<1 - horizontal stretching
f(x)=x^3
Y=x - identity function

47. What is the slope intercept formula? Define all the variables.
C>1 - horizontal shrinking
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

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

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49. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
in a quotient
f of g and g of f
Yes because two x's or domains can point to one y
x = the original sale price and the formula is x - .40x =$276

50. Which direction does f(x+c) move
only one
parabola - up one and right three
As many as you like
horizontal left