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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. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
no because you cannot have one domain pointing at two y's or ranges
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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

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

3. Which direction does f(x)=+c move in standard absolute value formula?
undefined slope
up
A line passing through two distinct points
f of g and g of f

4. y=f(cx) - what does this formula represent?
perpendicular line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
C>1 - horizontal shrinking
(-infinity - +infinity)

5. What is the domain of the cube root function?
function notation
(-infinity - +infinity)
same
Approach neg toward x through zero and above positive close to x

6. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
x^2
f(x^1)=f(x^2)
f(x) = x

7. Is a standard quadratic function even - odd or neither?
(-infinity - 0]U[0 - +infinity)
even
[0 -+infinity)
45 degree angle

8. What is the range of the cube root function?
2nd key - x^2 - graph
20+.05x=5+.10x x=minutes
Equation of a line
(-infinity - +infinity)

9. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
The second set of components of an ordered pair
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
odd
Square Root

10. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
As many as you like
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=IxI

11. how many ranges can you have for each domain?
only one
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.
Y= then enter the number then press graph
undefined slope

12. what can never equal zero in the slope formula and why?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
The second set of components of an ordered pair
x2-x1 because the demonaitor of a quotient can never equal zero

13. Draw or discuss a constant function
As many as you like
Cannot be drawn in quizlet
Square Root
(-infinity - +infinity)

14. What is the formula for the cube root function?
(-infinity - 0]U[0 - +infinity)
same
The minimum or maximum points
f(x)=3 square root x

15. 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
zero slope
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)

16. What does linear equation mean?
identity
Equation of a line
f(x+h)-f(x)/h h cannot equal zero
Line ascending to the right gradually

17. What is a domain?
The first set of components of an ordered pair
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Square Root
(-infinity - +infinity)

18. What is a constant function?
The minimum or maximum points
inconsitent
f(x^1)=f(x^2)
zero slope

19. What type of slope do vertical lines have?
As many as you like
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
undefined
The slope of a line containing two points

20. Is an identity function even - odd or neither?
f(x)=3 square root x
f(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet
odd

21. What is the vertical line formula?
[0 -+infinity)
(-infinity - +infinity)
(-infinity - +infinity)
x=a

22. 4(x-7)=4x-28 is what type of an equation?
zero slope
Y=x - identity function
identity
f(x)=suare root of x

23. What is the formula for the standard cubic function?
Absolute Value - Constant and Standard Quadratic
f(x)=3 square root x
f(x)=x^3
(-infinity - +infinity)

24. A flat line underlining one vertical line is a symbol for
The single number y=
math 4 x - graph
perpendicular line
Equation of a line

25. What is the formula for to calculate the difference of a quotient function?
odd
neither
f(x+h)-f(x)/h h cannot equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x

26. What are the four steps for solving a linear equation?
C>1 - horizontal shrinking
(-infinity - +infinity)
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.

27. What type of slope do horizontal lines have?
When does a graph not define y as a function of x?
same
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle

28. what is the letter used to represent slope?
A V
(-infinity - +infinity)
f(x+c) and f(x-c)
m

29. What type of line is an identity function?
Mirror image neg quadrant to that of the positive quandrant
45 degree angle
Y=x - identity function
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

30. What is slope?
Conditional
A line passing through two distinct points
As equations
(-infinity - +infinity)

31. What direction does f(x)-c move in standard absolute value formula?
1 -2 -3
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
down
horizontal

32. How would this formula move f(x)=(x+1)^2-3
Y= then enter the number then press graph
parabola - up one and right three
Line ascending to the right gradually
even

33. What can we substitute for f(x)?
horizontal left
Conditional
Y
math 4 x - graph

34. What are the calculator instructions for the cube root function?
(-infinity - +infinity)
math 4 x - graph
Y=b
Line ascending to the right gradually

35. 4x+5x=8x is what type of an equation?
f(x)=suare root of x
x^2
Conditional
f(x+c) and f(x-c)

36. When is the only time (-infinity - +infinity) is not the domain?
zero slope
in a quotient
parabola
x is the hours to repair the boat. $1603-532=anwser/63 = x

37. What is a function?
f(x)=3 square root x
zero slope
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

38. $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?
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
parabola - up one and right three
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
even

39. Is a constant function even - odd or neither?
Mirror image neg quadrant to that of the positive quandrant
even
up
f(x)=+c and f(x)-c

40. What is another way to write f(x)=x - what type of function is this?
As equations
Equation of a line
(-infinity - +infinity)
Y=x - identity function

41. 4(x-7)=4x+28 is what type of an equation?
parraelle line
inconsitent
Yes because two x's or domains can point to one y
(-infinity - +infinity)

42. What type of slope do you have when a line falls left to right and m<0?
even
negative slope
Approach neg toward x through zero and above positive close to x
As equations

43. f(x) = x^2+3x+5 - what type of formula is this?
(-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
Cannot be drawn in quizlet
function notation

44. what is the formula for slope?
even
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
Y=x - identity function

45. What does the square root function look like on a graph?
f(x)=suare root of x
Line ascending to the right gradually
The single number y=
identity

46. What is the formula for the square root function?
inconsitent
1 -2 -3
parabola - up one and right three
f(x)=suare root of x

47. Which direction does f(x+c) move
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
parabola
f(x+c) and f(x-c)
horizontal left

48. Standard absolute value - horizontal shift formulas for left and right
1 -2 -3
x math 3 graph
45 degree angle
f(x+c) and f(x-c)

49. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
x^2
inconsitent
even

50. What is the domain for the standard cubic function?
Cannot be drawn in quizlet
(-infinity - +infinity)
C>1 - horizontal shrinking
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