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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 slope do you have when a line rises from left to right and m>0?
(-infinity - +infinity)
postiive slope
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Set the x and y to zero and get the intercepts and then plot the points

2. In an identity function if f(10)=x than what is y?
f(x)=x^3
x=a
Absolute Value - Constant and Standard Quadratic
Y=10

3. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - 0]U[0 - +infinity)
undefined
up
Yes - all the domains points to one range

4. What is the domain for a standard quadratic function?
even
math 4 x - graph
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

5. What is the average rate of change formula?
undefined slope
f(x2)-f(x1) / x2-x1
Line ascending to the right gradually
When does a graph not define y as a function of x?

6. 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
f(x)=3 square root x
only one
inconsitent

7. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
f(x)=3 square root x
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.
m

8. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Conditional
because the demintor of a quotient can never equal zero
only one

9. 4(x-7)=4x-28 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
identity
Approach neg toward x through zero and above positive close to x
even

10. What type of slope do you have when a line falls left to right and m<0?
f(x)=+c and f(x)-c
Yes - all the domains points to one range
negative slope
The secant line

11. What is a constant function?
f(x^1)=f(x^2)
even
As equations
Cannot be drawn in quizlet

12. Which direction does f(x-c) move
horizontal right
2nd key - x^2 - graph
The minimum or maximum points
45 degree angle

13. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
because the demintor of a quotient can never equal zero
Y=x^2 - graph
2nd catalog (zero key -) abs(x) - graph

14. how many ranges can you have for each domain?
(-infinity - +infinity)
neither
only one
As equations

15. What is the domain of the cube root function?
C>1 - horizontal shrinking
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
inconsitent
(-infinity - +infinity)

16. x=no real numbers is what type of an equation?
math 4 x - graph
inconsistant
Yes - all the domains points to one range
A V

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

18. How do you calculate a constant function in your calculator?
(-infinity - +infinity)
(-infinity - +infinity)
Y= then enter the number then press graph
[0 -+infinity)

19. What type of slope do vertical lines have?
As equations
undefined
20+.05x=5+.10x x=minutes
only one

20. What is a function?
A line passing through two distinct points
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=x - identity function

21. x= a real number is what type of equation?
Conditional
math 4 x - graph
in a quotient
same

22. When is the only time (-infinity - +infinity) is not the domain?
odd
As equations
f(x^1)=f(x^2)
in a quotient

23. What is the formula for an identity function?
math 4 x - graph
A line passing through two distinct points
Three odd - cube root - identity - standard cubic
f(x) = x

24. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
0<c<1 - horizontal stretching
Y=x^2 - graph
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

25. what is the letter used to represent slope?
Conditional
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
m

26. What shape is the standard quadratic function?
horizontal
parabola
parraelle line
Y=x^2 - graph

27. What does linear equation mean?
Equation of a line
1 -2 -3
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
parabola

28. What are the calculator instructions for the standard cubic 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.
x math 3 graph
Line ascending to the right gradually
(f+g) - (f-g) - (fg) - (f/g) all of x

29. What are the calculator instructions for absolute value?
parabola - up one and right three
horizontal
2nd catalog (zero key -) abs(x) - graph
math 4 x - graph

30. What is a relation?
negative slope
Any set of ordered pairs
Set the x and y to zero and get the intercepts and then plot the points
0<c<1 - horizontal stretching

31. Of the seven of algebra's common graph's how many are even?
zero slope
[0 -+infinity)
Absolute Value - Constant and Standard Quadratic
Conditional

32. A flat line underlining one vertical line is a symbol for
perpendicular line
As equations
f(x)=IxI
Mirror image neg quadrant to that of the positive quandrant

33. What type of line is a constant function?
negative slope
f(x+h)-f(x)/h h cannot equal zero
horizontal
horizontal right

34. What is a domain?
The first set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x
Conditional
Line ascending to the right gradually

35. What are two examples of composit functions?
undefined slope
Conditional
even
f of g and g of f

36. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - +infinity)
(-infinity - +infinity)
The secant line
(-infinity - +infinity)

37. what can never equal zero in the slope formula and why?
45 degree angle
x2-x1 because the demonaitor of a quotient can never equal zero
in a quotient
horizontal right

38. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
(-infinity - +infinity)
Y=x^2 - graph
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.

39. y=f(cx) - what does this formula represent?
horizontal
even
C>1 - horizontal shrinking
As equations

40. What type of line is a constant function?
(-infinity - +infinity)
horizontal
A line passing through two distinct points
postiive slope

41. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
Y=x^2 - graph
(-infinity - +infinity)
horizontal left

42. What is the formula for the cube root function?
x^2
x is the hours to repair the boat. $1603-532=anwser/63 = x
math 4 x - graph
f(x)=3 square root x

43. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
up
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
perpendicular line
even

44. Two vertical lines side by side are a symbol for what
parraelle line
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
f(x)=+c and f(x)-c

45. What type of slope do you have when the line is horizontal and m=0?
zero slope
horizontal
Y= then enter the number then press graph
Y=x - identity function

46. $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?
Set the x and y to zero and get the intercepts and then plot the points
Change in y / change in x = rise / run = y2-y1 / x2-x1
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
45 degree angle

47. What is slope?
A line passing through two distinct points
x is the hours to repair the boat. $1603-532=anwser/63 = x
Equation of a line
horizontal

48. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
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
1 -2 -3
The opposite coordinates
[0 -+infinity)

49. What points do you use to plot the inverse on a graph?
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The opposite coordinates
f(x2)-f(x1) / x2-x1

50. Of the seven of algebra's common graph's how many are odd?
(f+g) - (f-g) - (fg) - (f/g) all of x
f(x)=+c and f(x)-c
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)