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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?
identity
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
(-infinity - 0]U[0 - +infinity)
m

2. Draw or discuss a constant function
Cannot be drawn in quizlet
x math 3 graph
1 -2 -3
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

3. What is the range for a standard quadratic function?
parabola
f(x)=3 square root x
Cannot be drawn in quizlet
(-infinity - 0]U[0 - +infinity)

4. What is a constant function?
f(x^1)=f(x^2)
As equations
x math 3 graph
in a quotient

5. What is the formula in both horizontal stretching and horizontal shrinking?
0<c<1 - horizontal stretching
(-infinity - +infinity)
The opposite coordinates
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

6. What is another way to write f(x)=x - what type of function is this?
45 degree angle
Y=x - identity function
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

7. What is a domain?
undefined
identity
inconsistant
The first set of components of an ordered pair

8. What is the slope of a perpendicular line?
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
negative inverse

9. What type of slope do you have when m=? and the line is vertical?
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)
undefined slope
The slope of a line containing two points

10. What is the formula for the square root function?
45 degree angle
Set the x and y to zero and get the intercepts and then plot the points
f(x)=suare root of x
identity

11. What type of function would you use to calculate the most advantageous cell phone plan?
The slope of a line containing two points
Piecewise
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
even

12. Is the standard cubic function odd - even or neither?
20+.05x=5+.10x x=minutes
odd
[0 -+infinity)
2nd catalog (zero key -) abs(x) - graph

13. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
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.
x = the original sale price and the formula is x - .40x =$276
Y=IxI

14. What does the absolute value function look like?
x math 3 graph
function notation
f of g and g of f
A V

15. What are the calculator instructions for a square root function?
f(x^1)=f(x^2)
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.
identity
2nd key - x^2 - graph

16. f(x) = x^2+3x+5 - what type of formula is this?
function notation
Y=10
parabola - up one and right three
no because you cannot have one domain pointing at two y's or ranges

17. What can we substitute for f(x)?
inconsitent
Y
Yes because two x's or domains can point to one y
x=a

18. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x)=x^3
The first set of components of an ordered pair

19. 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.
horizontal left
identity
Conditional

20. What does the graph of the cube root function look like on the graph?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Approach neg toward x through zero and above positive close to x
only one
Y

21. What is the slope intercept formula? Define all the variables.
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
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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.
x math 3 graph

22. y=f(cx) what does this formula represent?
odd
C>1 - horizontal shrinking
0<c<1 - horizontal stretching
horizontal

23. How would this formula move f(x)=(x+1)^2-3
C>1 - horizontal shrinking
As equations
f(x)=+c and f(x)-c
parabola - up one and right three

24. A flat line underlining one vertical line is a symbol for
Any set of ordered pairs
(-infinity - +infinity)
perpendicular line
up

25. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
(-infinity - +infinity)
postiive slope
undefined

26. Is the square root function odd - even or neither?
neither
x = the original sale price and the formula is x - .40x =$276
When does a graph not define y as a function of x?
A V

27. What are the steps for solving a word problem?
because the demintor of a quotient can never 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.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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

28. What is a relation?
Any set of ordered pairs
f(x)=IxI
odd
(-infinity - +infinity)

29. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
math 4 x - graph
The opposite coordinates
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

30. What type of slope do horizontal lines have?
same
horizontal left
x = the original sale price and the formula is x - .40x =$276
function notation

31. Which direction does f(x-c) move
function notation
4 -6 -9
x=a
horizontal right

32. What is the range for the standard cubic function?
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
45 degree angle
undefined
(-infinity - +infinity)

33. What is the domain of the cube root function?
inconsistant
The second set of components of an ordered pair
perpendicular line
(-infinity - +infinity)

34. What type of line is a constant function?
(-infinity - +infinity)
[0 -+infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
horizontal

35. Which direction does f(x)=+c move in standard absolute value formula?
up
f(x+h)-f(x)/h h cannot equal zero
Y=10
only one

36. What type of slope do you have when a line rises from left to right and m>0?
As equations
in a quotient
20+.05x=5+.10x x=minutes
postiive slope

37. y=f(cx) - what does this formula represent?
f(x)=+c and f(x)-c
Line ascending to the right gradually
m
C>1 - horizontal shrinking

38. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
in a quotient
As equations
x math 3 graph

39. When is the only time (-infinity - +infinity) is not the domain?
math 4 x - graph
As many as you like
even
in a quotient

40. What type of line is an identity function?
(-infinity - 0]U[0 - +infinity)
The secant line
45 degree angle
Y= then enter the number then press graph

41. What is another way of writing the absolute value function?
The slope of a line containing two points
Y=IxI
(-infinity - +infinity)
f(x) = x

42. What type of slope do you have when a line falls left to right and m<0?
f(x)=3 square root x
negative slope
4 -6 -9
down

43. Is a standard quadratic function even - odd or neither?
neither
Y=b
negative slope
even

44. What shape is the standard quadratic function?
(-infinity - +infinity)
odd
math 4 x - graph
parabola

45. 4x+5x=8x is what type of an equation?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Conditional
Piecewise
x is the hours to repair the boat. $1603-532=anwser/63 = x

46. What are the algebra of functions?
Line ascending to the right gradually
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Change in y / change in x = rise / run = y2-y1 / x2-x1
(f+g) - (f-g) - (fg) - (f/g) all of x

47. What is the standard quadratic function?
negative inverse
(-infinity - +infinity)
x^2
odd

48. What is the formula for an identity function?
1 -2 -3
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(x) = x
perpendicular line

49. What is slope?
The first set of components of an ordered pair
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
Change in y / change in x = rise / run = y2-y1 / x2-x1
A line passing through two distinct points

50. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
negative slope
The slope of a line containing two points
inconsitent