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

2. What does the square root function look like on a graph?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Line ascending to the right gradually
The single number y=
(-infinity - +infinity)

3. What is a relation?
f(x)=3 square root x
undefined slope
Any set of ordered pairs
C>1 - horizontal shrinking

4. Which direction does f(x+c) move
undefined
horizontal left
Set the x and y to zero and get the intercepts and then plot the points
even

5. What are the calculator instructions for a square root function?
parabola
only one
Change in y / change in x = rise / run = y2-y1 / x2-x1
2nd key - x^2 - graph

6. How do you graph Ax+By+C=0?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x)=+c and f(x)-c
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.
Set the x and y to zero and get the intercepts and then plot the points

7. What is the range for the standard cubic function?
identity
(-infinity - +infinity)
function notation
(-infinity - 0]U[0 - +infinity)

8. What is another way of writing the absolute value function?
Y=IxI
even
[0 -+infinity)
45 degree angle

9. What are the calculator instructions for the cube root function?
even
The opposite coordinates
math 4 x - graph
f(x^1)=f(x^2)

10. What is slope?
horizontal
Y= then enter the number then press graph
A line passing through two distinct points
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

11. Draw or discuss an increasing function
Cannot be drawn in quizlet
(-infinity - 0]U[0 - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x^1)=f(x^2)

12. Which direction does f(x)=+c move in standard absolute value formula?
[0 -+infinity)
horizontal right
x2-x1 because the demonaitor of a quotient can never equal zero
up

13. 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?
Three odd - cube root - identity - standard cubic
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x) = x
Y=x - identity function

14. What type of slope do you have when m=? and the line is vertical?
(-infinity - +infinity)
Any set of ordered pairs
The secant line
undefined slope

15. Is an identity function even - odd or neither?
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
odd
horizontal left

16. What is the vertical line formula?
up
x=a
(-infinity - +infinity)
negative inverse

17. What points do you use to plot the inverse on a graph?
Approach neg toward x through zero and above positive close to x
The opposite coordinates
f(x^1)=f(x^2)
(f+g) - (f-g) - (fg) - (f/g) all of x

18. what is a range?
When does a graph not define y as a function of x?
x = the original sale price and the formula is x - .40x =$276
The second set of components of an ordered pair
even

19. What type of line is an identity function?
Y=IxI
45 degree angle
undefined slope
(-infinity - +infinity)

20. What is the line called that illustrates the straight line between the two points when showing average rate of change?
x math 3 graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The secant line
f of g and g of f

21. Two vertical lines side by side are a symbol for what
Cannot be drawn in quizlet
odd
0<c<1 - horizontal stretching
parraelle line

22. What is a domain?
function notation
x math 3 graph
negative slope
The first set of components of an ordered pair

23. What are two examples of composit functions?
x is the hours to repair the boat. $1603-532=anwser/63 = x
f of g and g of f
Conditional
f(x^1)=f(x^2)

24. What is a function?
4 -6 -9
Equation of a line
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)

25. Is the square root function odd - even or neither?
C>1 - horizontal shrinking
neither
(-infinity - +infinity)
(-infinity - +infinity)

26. y=f(cx) what does this formula represent?
2nd key - x^2 - graph
0<c<1 - horizontal stretching
A line passing through two distinct points
up

27. What type of slope do vertical lines have?
Equation of a line
undefined
(-infinity - 0]U[0 - +infinity)
m

28. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
undefined
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

29. {(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
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
same
4 -6 -9

30. What is the domain for a standard quadratic function?
f(x^1)=f(x^2)
The slope of a line containing two points
(-infinity - +infinity)
When does a graph not define y as a function of x?

31. What is the domain of a square root function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x) = x
even
[0 -+infinity)

32. What is the formula for an identity function?
f(x)=suare root of x
f(x) = x
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
parraelle line

33. 4x+5x=8x is what type of an equation?
f(x+c) and f(x-c)
Absolute Value - Constant and Standard Quadratic
f(x) = x
Conditional

34. What does the average rate of change formula solve?
function notation
even
f(x)=+c and f(x)-c
The slope of a line containing two points

35. What type of slope do you have when the line is horizontal and m=0?
Mirror image neg quadrant to that of the positive quandrant
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x)=IxI
zero slope

36. What is the range for a standard quadratic function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

37. x=no real numbers is what type of an equation?
in a quotient
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=10
inconsistant

38. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
Mirror image neg quadrant to that of the positive quandrant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
only one

39. What is a constant function?
As equations
C>1 - horizontal shrinking
[0 -+infinity)
f(x^1)=f(x^2)

40. What is the range of the constant function?
The single number y=
The minimum or maximum points
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.
parraelle line

41. What is another way to write f(x)=x - what type of function is this?
1 -2 -3
Y=x - identity function
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Any set of ordered pairs

42. What are the four steps for solving a linear equation?
postiive slope
f of g and g of f
Cannot be drawn in quizlet
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.

43. What is the slope intercept formula? Define all the variables.
because the demintor of a quotient can never equal zero
negative slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
horizontal right

44. What is the domain of an identity function?
f(x) = x
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet

45. What are the steps for solving a word problem?
f of g and g of f
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=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y= then enter the number then press graph

46. 4(x-7)=4x+28 is what type of an equation?
even
Cannot be drawn in quizlet
inconsitent
(-infinity - 0]U[0 - +infinity)

47. Of the seven of algebra's common graph's how many are odd?
Yes because two x's or domains can point to one y
x^2
Three odd - cube root - identity - standard cubic
horizontal

48. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Y
Y=x - identity function
f(x)=3 square root x

49. What is the formula for the standard cubic function?
f(x)=x^3
undefined
As equations
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.

50. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
45 degree angle
1 -2 -3
Conditional
m