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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 graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
45 degree angle
Y=IxI
x math 3 graph

2. Of the seven of algebra's common graph's how many are even?
1 -2 -3
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic
x^2

3. What type of function would you use to calculate the most advantageous cell phone plan?
horizontal right
Piecewise
Y=IxI
The slope of a line containing two points

4. What type of slope do vertical lines have?
45 degree angle
undefined
horizontal right
f(x)=3 square root x

5. What is the range of the cube root function?
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
Cannot be drawn in quizlet
Square Root

6. What type of slope do horizontal lines have?
Set the x and y to zero and get the intercepts and then plot the points
Y= then enter the number then press graph
same
in a quotient

7. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
Piecewise
x is the hours to repair the boat. $1603-532=anwser/63 = x

8. Which direction does f(x)=+c move in standard absolute value formula?
up
2nd key - x^2 - graph
parabola - up one and right three
f(x+h)-f(x)/h h cannot equal zero

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

10. How do you calculate a constant function in your calculator?
odd
[0 -+infinity)
Y= then enter the number then press graph
The opposite coordinates

11. x= a real number is what type of equation?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]U[0 - +infinity)
undefined slope
Conditional

12. What is the slope of a perpendicular line?
Y= then enter the number then press graph
C>1 - horizontal shrinking
negative inverse
even

13. What is the formula for the square root function?
identity
f(x)=suare root of x
postiive slope
Change in y / change in x = rise / run = y2-y1 / x2-x1

14. how many ranges can you have for each domain?
Change in y / change in x = rise / run = y2-y1 / x2-x1
only one
zero slope
odd

15. f(x) = x^2+3x+5 - what type of formula is this?
Absolute Value - Constant and Standard Quadratic
function notation
postiive slope
f(x2)-f(x1) / x2-x1

16. How are functions normally written?
As equations
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Mirror image neg quadrant to that of the positive quandrant
up

17. What is the formula for an identity function?
same
f(x) = x
Conditional
As many as you like

18. What is the range for the standard cubic function?
(-infinity - +infinity)
f(x) = x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Mirror image neg quadrant to that of the positive quandrant

19. What type of line is an identity function?
A line passing through two distinct points
even
45 degree angle
f(x)=IxI

20. y=f(cx) what does this formula represent?
The secant 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.
(-infinity - 0]U[0 - +infinity)
0<c<1 - horizontal stretching

21. What is the point slope formula and when do you use it?
f(x) = x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
odd
Cannot be drawn in quizlet

22. How would this formula move f(x)=(x+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
inconsitent
(-infinity - +infinity)
parabola - up one and right three

23. Standard absolute value - horizontal shift formulas for left and right
4 -6 -9
Square Root
f(x+c) and f(x-c)
(f+g) - (f-g) - (fg) - (f/g) all of x

24. 4(x-7)=4x-28 is what type of an equation?
The second set of components of an ordered pair
Yes - all the domains points to one range
Mirror image neg quadrant to that of the positive quandrant
identity

25. What type of line is a constant function?
Square Root
no because you cannot have one domain pointing at two y's or ranges
Approach neg toward x through zero and above positive close to x
horizontal

26. What are the four steps for solving a linear equation?
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.
Y=x - identity function
no because you cannot have one domain pointing at two y's or ranges

27. Is an identity function even - odd or neither?
Approach neg toward x through zero and above positive close to x
x = the original sale price and the formula is x - .40x =$276
odd
only one

28. Draw or discuss a constant function
parraelle line
Square Root
horizontal
Cannot be drawn in quizlet

29. Which direction does f(x-c) move
Y
Conditional
horizontal right
perpendicular line

30. What is the average rate of change formula?
odd
f(x2)-f(x1) / x2-x1
0<c<1 - horizontal stretching
f of g and g of f

31. What is the formula for the standard cubic function?
f(x)=x^3
A V
4 -6 -9
Yes because two x's or domains can point to one y

32. Draw or discuss a decreasing function
even
inconsitent
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.
Cannot be drawn in quizlet

33. What is the range of the constant function?
Y=IxI
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.
f(x^1)=f(x^2)
The single number y=

34. What is a domain?
(-infinity - 0]U[0 - +infinity)
The first set of components of an ordered pair
m
Any set of ordered pairs

35. What is the domain and range of a constant function?
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)
(f+g) - (f-g) - (fg) - (f/g) all of x
function notation

36. Is a standard quadratic function even - odd or neither?
zero slope
Cannot be drawn in quizlet
Y=b
even

37. What does linear equation mean?
Equation of a line
(-infinity - +infinity)
identity
x^2

38. y=f(cx) - what does this formula represent?
(-infinity - +infinity)
Y
parabola - up one and right three
C>1 - horizontal shrinking

39. What is the domain of a square root function?
20+.05x=5+.10x x=minutes
zero slope
f(x)=3 square root x
[0 -+infinity)

40. What direction does f(x)-c move in standard absolute value formula?
down
Absolute Value - Constant and Standard Quadratic
Y=10
The slope of a line containing two points

41. What is the horizontal line formula?
f(x)=IxI
The second set of components of an ordered pair
Y=b
m

42. What does the square root function look like on a graph?
inconsitent
because the demintor of a quotient can never equal zero
As equations
Line ascending to the right gradually

43. What is the range of a square root function?
undefined slope
The second set of components of an ordered pair
[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

44. what is a range?
x math 3 graph
undefined slope
f(x) = x
The second set of components of an ordered pair

45. What is the domain of an identity function?
[0 -+infinity)
Conditional
f(x)=IxI
(-infinity - +infinity)

46. In an identity function if f(10)=x than what is y?
0<c<1 - horizontal stretching
x^2
Y=10
(-infinity - 0]U[0 - +infinity)

47. Standard absolute value - vertical shift formulas for positve and negative
The second set of components of an ordered pair
f(x)=+c and f(x)-c
f(x^1)=f(x^2)
x=a

48. Draw or discuss an increasing function
function notation
Conditional
Cannot be drawn in quizlet
The single number y=

49. What points do you use to plot the inverse on a graph?
(f+g) - (f-g) - (fg) - (f/g) all of x
f(x2)-f(x1) / x2-x1
The opposite coordinates
(-infinity - +infinity)

50. Two vertical lines side by side are a symbol for what
(-infinity - +infinity)
(-infinity - +infinity)
(-infinity - +infinity)
parraelle line