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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 line is a constant function?
4 -6 -9
zero slope
horizontal
perpendicular line

2. What is the range of a square root function?
Y
[0 -+infinity)
parabola - up one and right three
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

3. What is the formula for the square root function?
f(x)=suare root of x
neither
The secant line
parabola - up one and right three

4. What is the domain of the cube root function?
horizontal
(-infinity - +infinity)
up
negative inverse

5. What is the average rate of change formula?
postiive slope
f(x2)-f(x1) / x2-x1
Yes - all the domains points to one range
up

6. x=all real numbers is what type of an equation?
identity
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
in a quotient
down

7. What is another way to write f(x)=x - what type of function is this?
45 degree angle
(-infinity - 0]U[0 - +infinity)
horizontal right
Y=x - identity function

8. What type of slope do vertical lines have?
(-infinity - +infinity)
parraelle line
undefined
parabola

9. Draw or discuss a constant function
(-infinity - +infinity)
Cannot be drawn in quizlet
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
x^2

10. f(x) = x^2+3x+5 - what type of formula is this?
function notation
Approach neg toward x through zero and above positive close to x
As many as you like
Cannot be drawn in quizlet

11. What are the steps for solving a word problem?
odd
Y= then enter the number then press graph
As many as you like
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

12. What does the average rate of change formula solve?
horizontal
1 -2 -3
undefined
The slope of a line containing two points

13. what is the letter used to represent slope?
m
20+.05x=5+.10x x=minutes
Approach neg toward x through zero and above positive close to x
negative slope

14. What is a constant function?
f(x^1)=f(x^2)
x math 3 graph
Conditional
odd

15. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Piecewise
f of g and g of f
20+.05x=5+.10x x=minutes
f(x2)-f(x1) / x2-x1

16. What type of slope do you have when a line falls left to right and m<0?
negative slope
up
A V
x is the hours to repair the boat. $1603-532=anwser/63 = x

17. What does the standard cubic function look like on a graph?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
f(x)=suare root of x

18. 4x+5x=8x is what type of an equation?
1 -2 -3
Three odd - cube root - identity - standard cubic
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Conditional

19. What is the standard quadratic function?
The slope of a line containing two points
x=a
x = the original sale price and the formula is x - .40x =$276
x^2

20. When is the only time (-infinity - +infinity) is not the domain?
Approach neg toward x through zero and above positive close to x
x=a
in a quotient
Equation of a line

21. What is the domain and range of a constant function?
x=a
same
(-infinity - +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

22. What are the calculator instructions for a square root function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=b
2nd key - x^2 - graph
Any set of ordered pairs

23. what is a range?
Y=IxI
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
The second set of components of an ordered pair

24. What is slope?
Absolute Value - Constant and Standard Quadratic
Approach neg toward x through zero and above positive close to x
f(x)=+c and f(x)-c
A line passing through two distinct points

25. y=f(cx) what does this formula represent?
The slope of a line containing two points
(-infinity - +infinity)
0<c<1 - horizontal stretching
f(x+h)-f(x)/h h cannot equal zero

26. What is the domain for an absolute value function?
even
The secant line
(-infinity - +infinity)
inconsitent

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

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28. Is a constant function even - odd or neither?
zero slope
even
Y=x^2 - graph
(-infinity - +infinity)

29. Standard absolute value - vertical shift formulas for positve and negative
Absolute Value - Constant and Standard Quadratic
The opposite coordinates
f(x)=+c and f(x)-c
Cannot be drawn in quizlet

30. What is an identity function?
even
45 degree angle
identity
horizontal left

31. What is the range for an absolute value function?
f(x+h)-f(x)/h h cannot equal zero
down
Conditional
(-infinity - 0]U[0 - +infinity)

32. How do you graph Ax+By+C=0?
identity
perpendicular line
x^2
Set the x and y to zero and get the intercepts and then plot the points

33. What is the range for a standard quadratic function?
horizontal left
parabola - up one and right three
(-infinity - 0]U[0 - +infinity)
20+.05x=5+.10x x=minutes

34. Two vertical lines side by side are a symbol for what
parraelle line
The minimum or maximum points
negative inverse
(-infinity - 0]U[0 - +infinity)

35. how many domains can you have pointing to one range?
As many as you like
Approach neg toward x through zero and above positive close to x
Y=b
[0 -+infinity)

36. What equation does every line have? Discuss the variables.
same
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
[0 -+infinity)

37. What points do you use to plot the inverse on a graph?
The opposite coordinates
math 4 x - graph
45 degree angle
inconsitent

38. What is the horizontal line formula?
4 -6 -9
Y=b
(f+g) - (f-g) - (fg) - (f/g) all of x
math 4 x - graph

39. Why can h not equal zero in the difference of a quotient function formula?
As equations
45 degree angle
As many as you like
because the demintor of a quotient can never equal zero

40. $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?
As equations
f(x) = x
The first set of components of an ordered pair
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

41. How are functions normally written?
(-infinity - +infinity)
zero slope
As equations
The slope of a line containing two points

42. Is a standard quadratic function even - odd or neither?
(-infinity - +infinity)
even
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276

43. What can we substitute for f(x)?
A line passing through two distinct points
The second set of components of an ordered pair
Y
f(x)=x^3

44. 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
(-infinity - +infinity)
math 4 x - graph
Conditional

45. What is a domain?
Approach neg toward x through zero and above positive close to x
Yes because two x's or domains can point to one y
2nd key - x^2 - graph
The first set of components of an ordered pair

46. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
x^2
4 -6 -9
[0 -+infinity)
(-infinity - +infinity)

47. A flat line underlining one vertical line is a symbol for
perpendicular line
Y
identity
[0 -+infinity)

48. What is the formula in both horizontal stretching and horizontal shrinking?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
function notation
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

49. What type of line is a constant function?
horizontal
f(x)=+c and f(x)-c
1 -2 -3
(-infinity - +infinity)

50. What type of line is an identity function?
45 degree angle
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
(-infinity - +infinity)