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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 absolute value function even - odd or neither?
odd
Y=x^2 - graph
even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

2. In an identity function if f(10)=x than what is y?
The secant line
Y=10
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x) = x

3. Which direction does f(x+c) move
(-infinity - +infinity)
horizontal left
f(x)=3 square root x
(-infinity - +infinity)

4. what can never equal zero in the slope formula and why?
0<c<1 - horizontal stretching
Conditional
x2-x1 because the demonaitor of a quotient can never equal zero
f(x+c) and f(x-c)

5. What is a constant function?
(-infinity - +infinity)
horizontal
f(x^1)=f(x^2)
The minimum or maximum points

6. A flat line underlining one vertical line is a symbol for
The secant line
perpendicular line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
no because you cannot have one domain pointing at two y's or ranges

7. What equation does every line have? Discuss the variables.
parraelle line
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
The opposite coordinates

8. What is the slope of a perpendicular line?
up
negative inverse
horizontal left
4 -6 -9

9. What points do you use to plot the inverse on a graph?
(-infinity - +infinity)
neither
negative slope
The opposite coordinates

10. how many domains can you have pointing to one range?
(-infinity - +infinity)
zero slope
f(x)=IxI
As many as you like

11. What are the calculator instructions for the standard cubic function?
f(x^1)=f(x^2)
(-infinity - +infinity)
x math 3 graph
Conditional

12. What are the steps for solving a word problem?
f(x+h)-f(x)/h h cannot equal zero
4 -6 -9
identity
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

13. 4(x-7)=4x+28 is what type of an equation?
inconsitent
parraelle line
horizontal
Y=10

14. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - +infinity)
45 degree angle
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.
in a quotient

15. what is the letter used to represent slope?
(-infinity - +infinity)
x=a
m
inconsistant

16. Is the square root function odd - even or neither?
When does a graph not define y as a function of x?
A line passing through two distinct points
Y
neither

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

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18. what is a range?
The second set of components of an ordered pair
Cannot be drawn in quizlet
Square Root
x2-x1 because the demonaitor of a quotient can never equal zero

19. What is the domain for an absolute value function?
m
(-infinity - +infinity)
negative inverse
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

20. Which direction does f(x-c) move
horizontal right
identity
Y= then enter the number then press graph
2nd key - x^2 - graph

21. What is the formula for the cube root function?
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)
A line passing through two distinct points
f(x)=3 square root x

22. What is another way to write f(x)=x - what type of function is this?
Square Root
even
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=x - identity function

23. What type of slope do horizontal lines have?
[0 -+infinity)
(-infinity - +infinity)
same
even

24. What is the domain for a standard quadratic function?
Cannot be drawn in quizlet
(-infinity - +infinity)
Any set of ordered pairs
f(x)=3 square root x

25. What type of slope do you have when m=? and the line is vertical?
Y=10
Cannot be drawn in quizlet
undefined slope
parabola - up one and right three

26. What does the graph of the cube root function look like on the graph?
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
[0 -+infinity)

27. What is the range for the standard cubic function?
parraelle 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
(-infinity - +infinity)
only one

28. What is the domain of a square root 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
[0 -+infinity)
in a quotient
f(x) = x

29. 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
function notation
The secant line
(-infinity - 0]U[0 - +infinity)

30. What is the point slope formula and when do you use it?
horizontal right
[0 -+infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Set the x and y to zero and get the intercepts and then plot the points

31. What is the formula for the square root function?
Yes - all the domains points to one range
As many as you like
[0 -+infinity)
f(x)=suare root of x

32. What shape is the standard quadratic function?
Y=x^2 - graph
45 degree angle
even
parabola

33. Why can h not equal zero in the difference of a quotient function formula?
neither
f of g and g of f
(-infinity - +infinity)
because the demintor of a quotient can never equal zero

34. What is the domain of an identity function?
The opposite coordinates
(-infinity - +infinity)
math 4 x - graph
The slope of a line containing two points

35. What is the vertical line test?
negative slope
When does a graph not define y as a function of x?
Equation of a line
The secant line

36. What is another way of writing the absolute value function?
f of g and g of f
in a quotient
Y=IxI
A V

37. What is the range for a standard quadratic function?
0<c<1 - horizontal stretching
f(x)=3 square root x
in a quotient
(-infinity - 0]U[0 - +infinity)

38. Draw or discuss a decreasing function
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Mirror image neg quadrant to that of the positive quandrant

39. What is the range of the cube root function?
function notation
As many as you like
Cannot be drawn in quizlet
(-infinity - +infinity)

40. What is the formula for an absolute value function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x)=IxI
Cannot be drawn in quizlet
Three odd - cube root - identity - standard cubic

41. Draw or discuss a constant function
Cannot be drawn in quizlet
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
odd
Piecewise

42. What does the average rate of change formula solve?
undefined slope
2nd catalog (zero key -) abs(x) - graph
The slope of a line containing two points
x2-x1 because the demonaitor of a quotient can never equal zero

43. f(x) = x^2+3x+5 - what type of formula is this?
math 4 x - graph
function notation
up
negative inverse

44. What is the range of an identity function?
negative inverse
x=a
(-infinity - +infinity)
The single number y=

45. What is the formula in both horizontal stretching and horizontal shrinking?
x = the original sale price and the formula is x - .40x =$276
As many as you like
The slope of a line containing two points
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

46. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
x math 3 graph
parabola - up one and right three
Y= then enter the number then press graph
Yes - all the domains points to one range

47. x=no real numbers is what type of an equation?
parabola
inconsistant
zero slope
f of g and g of f

48. What is the standard quadratic function?
inconsitent
horizontal right
x^2
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

49. What is the domain and range of a constant function?
(-infinity - +infinity)
Cannot be drawn in quizlet
identity
The second set of components of an ordered pair

50. 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?
0<c<1 - horizontal stretching
(-infinity - 0]U[0 - +infinity)
even
x is the hours to repair the boat. $1603-532=anwser/63 = x