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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. Is an identity function even - odd or neither?
Square Root
x2-x1 because the demonaitor of a quotient can never equal zero
odd
negative slope

2. What is the range for the standard cubic function?
Cannot be drawn in quizlet
even
parabola - up one and right three
(-infinity - +infinity)

3. What is the range of the constant function?
f(x)=suare root of x
perpendicular line
The single number y=
f(x^1)=f(x^2)

4. Which direction does f(x)=+c move in standard absolute value formula?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
undefined
up
(-infinity - +infinity)

5. What is the slope of a perpendicular line?
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
inconsitent
negative inverse
because the demintor of a quotient can never equal zero

6. What is the horizontal line formula?
(-infinity - +infinity)
Y=b
(-infinity - +infinity)
f(x^1)=f(x^2)

7. What is the domain for an absolute value function?
As equations
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
neither

8. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
Conditional
Y=10
0<c<1 - horizontal stretching

9. How do you graph Ax+By+C=0?
2nd catalog (zero key -) abs(x) - graph
Y=10
in a quotient
Set the x and y to zero and get the intercepts and then plot the points

10. What direction does f(x)-c move in standard absolute value formula?
up
down
identity
2nd catalog (zero key -) abs(x) - graph

11. What does the square root function look like on a graph?
odd
45 degree angle
Set the x and y to zero and get the intercepts and then plot the points
Line ascending to the right gradually

12. Is the standard cubic function odd - even or neither?
f(x+h)-f(x)/h h cannot equal zero
undefined
(-infinity - +infinity)
odd

13. What is another way of writing the absolute value function?
Conditional
parraelle line
Y=IxI
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

14. What type of slope do horizontal lines have?
Absolute Value - Constant and Standard Quadratic
same
parraelle line
Line ascending to the right gradually

15. x= a real number is what type of equation?
Line ascending to the right gradually
Conditional
Absolute Value - Constant and Standard Quadratic
identity

16. 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?
Mirror image neg quadrant to that of the positive quandrant
x is the hours to repair the boat. $1603-532=anwser/63 = x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
down

17. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
2nd key - x^2 - graph
1 -2 -3
neither
f(x)=x^3

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

19. What is slope?
(f+g) - (f-g) - (fg) - (f/g) all of x
A line passing through two distinct points
Absolute Value - Constant and Standard Quadratic
The secant line

20. What is the formula for the standard cubic function?
math 4 x - graph
Absolute Value - Constant and Standard Quadratic
Approach neg toward x through zero and above positive close to x
f(x)=x^3

21. x=no real numbers is what type of an equation?
inconsistant
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)=3 square root x
4 -6 -9

22. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
horizontal right
Line ascending to the right gradually
negative slope

23. What is the range of an identity function?
(-infinity - +infinity)
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.
even
negative slope

24. What is the range for a standard quadratic function?
The minimum or maximum points
parabola
(-infinity - 0]U[0 - +infinity)
2nd catalog (zero key -) abs(x) - graph

25. What type of line is an identity function?
[0 -+infinity)
45 degree angle
x^2
As equations

26. 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
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276

27. what can never equal zero in the slope formula and why?
x=a
x2-x1 because the demonaitor of a quotient can never equal zero
x^2
2nd key - x^2 - graph

28. Of the seven of algebra's common graph's how many are neither?
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
(-infinity - +infinity)
Square Root

29. Which direction does f(x+c) move
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
horizontal left
x = the original sale price and the formula is x - .40x =$276
As equations

30. 4(x-7)=4x+28 is what type of an equation?
x2-x1 because the demonaitor of a quotient can never equal zero
The minimum or maximum points
Y=x - identity function
inconsitent

31. What is a relation?
because the demintor of a quotient can never equal zero
Absolute Value - Constant and Standard Quadratic
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.
Any set of ordered pairs

32. What is the formula for the square root function?
f(x^1)=f(x^2)
The opposite coordinates
f(x)=suare root of x
(-infinity - +infinity)

33. What are the calculator instructions for a standard quadratic equation?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - 0]U[0 - +infinity)
Y=x^2 - graph
(-infinity - +infinity)

34. What type of line is a constant function?
horizontal
Square Root
f of g and g of f
Y

35. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
(-infinity - 0]U[0 - +infinity)
[0 -+infinity)
parabola - up one and right three

36. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
(-infinity - +infinity)
The secant line

37. What is a domain?
up
The first set of components of an ordered pair
parabola - up one and right three
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

38. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Piecewise
Cannot be drawn in quizlet
Yes - all the domains points to one range

39. What does the average rate of change formula solve?
The single number y=
(-infinity - +infinity)
f(x)=+c and f(x)-c
The slope of a line containing two points

40. What is the domain of an identity function?
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
(-infinity - +infinity)
m
f(x)=IxI

41. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
The first set of components of an ordered pair
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

42. Standard absolute value - vertical shift formulas for positve and negative
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
only one
f(x)=+c and f(x)-c
Y=10

43. What is the vertical line test?
Piecewise
When does a graph not define y as a function of x?
(-infinity - +infinity)
2nd key - x^2 - graph

44. What can we substitute for f(x)?
Equation of a line
The secant line
Y
horizontal left

45. What are the four steps for solving a linear equation?
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.
x2-x1 because the demonaitor of a quotient can never equal zero
f(x) = x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

46. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
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.
Line ascending to the right gradually
Approach neg toward x through zero and above positive close to x
x = the original sale price and the formula is x - .40x =$276

47. 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
Approach neg toward x through zero and above positive close to x
f(x)=IxI
The slope of a line containing two points

48. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
inconsitent
4 -6 -9
Approach neg toward x through zero and above positive close to x
even

49. What are two examples of composit functions?
f of g and g of f
The secant line
horizontal left
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. Is a standard quadratic function even - odd or neither?
even
(-infinity - +infinity)
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