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CLEP College Algebra: Functions

Instructions:

Answer 50 questions in 15 minutes.
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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 slope do you have when a line falls left to right and m<0?
negative slope
even
neither
(-infinity - +infinity)

2. Is an absolute value function even - odd or neither?
horizontal left
As many as you like
even
(-infinity - +infinity)

3. What are the calculator instructions for a standard quadratic equation?
The minimum or maximum points
identity
odd
Y=x^2 - graph

4. What type of line is an identity function?
Square Root
f(x)=suare root of x
f(x)=3 square root x
45 degree angle

5. What are the steps for solving a word problem?
x^2
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
negative inverse
(-infinity - 0]U[0 - +infinity)

6. What are the four steps for solving a linear equation?
f(x)=3 square root x
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+g) - (f-g) - (fg) - (f/g) all of x
parabola - up one and right three

7. What are the algebra of functions?
The secant line
Yes because two x's or domains can point to one y
(f+g) - (f-g) - (fg) - (f/g) all of x
even

8. What is the domain for the standard cubic function?
perpendicular line
no because you cannot have one domain pointing at two y's or ranges
Square Root
(-infinity - +infinity)

9. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
4 -6 -9
(-infinity - +infinity)
neither

10. What is the point slope formula and when do you use it?
A line passing through two distinct points
identity
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
horizontal

11. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
(-infinity - +infinity)
f(x+c) and f(x-c)
function notation

12. What is another way to write f(x)=x - what type of function is this?
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
4 -6 -9
zero slope

13. What is the formula for an identity function?
Piecewise
f(x) = x
horizontal
undefined slope

14. What equation does every line have? Discuss the variables.
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.
[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
A V

15. What is the range of an identity function?
Conditional
zero slope
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)

16. What is the range for the standard cubic function?
horizontal left
[0 -+infinity)
(-infinity - +infinity)
f(x)=IxI

17. Is a constant function even - odd or neither?
Y=x - identity function
45 degree angle
(f+g) - (f-g) - (fg) - (f/g) all of x
even

18. What is another way of writing the absolute value function?
parraelle line
2nd key - x^2 - graph
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
Y=IxI

19. What type of slope do you have when the line is horizontal and m=0?
A V
zero slope
horizontal
up

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

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21. What does linear equation mean?
in a quotient
f(x)=IxI
f(x^1)=f(x^2)
Equation of a line

22. 4(x-7)=4x+28 is what type of an equation?
odd
horizontal right
Y=10
inconsitent

23. how many ranges can you have for each domain?
only one
Yes - all the domains points to one range
undefined slope
x math 3 graph

24. What is the formula for the cube root function?
x=a
f(x)=3 square root x
Cannot be drawn in quizlet
[0 -+infinity)

25. Of the seven of algebra's common graph's how many are neither?
math 4 x - graph
Square Root
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x)=3 square root x

26. What is the slope of a perpendicular line?
negative inverse
odd
Set the x and y to zero and get the intercepts and then plot the points
m

27. In an identity function if f(10)=x than what is y?
Y=10
x math 3 graph
45 degree angle
0<c<1 - horizontal stretching

28. Is the standard cubic function odd - even or neither?
f(x^1)=f(x^2)
odd
(-infinity - +infinity)
x math 3 graph

29. What is the domain for an absolute value function?
(-infinity - +infinity)
m
Cannot be drawn in quizlet
(f+g) - (f-g) - (fg) - (f/g) all of x

30. Why can h not equal zero in the difference of a quotient function formula?
horizontal
Mirror image neg quadrant to that of the positive quandrant
because the demintor of a quotient can never equal zero
inconsitent

31. What are the calculator instructions for absolute value?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
undefined
horizontal

32. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
Conditional
Y=IxI
parabola - up one and right three

33. What is the domain of the cube root function?
postiive slope
(-infinity - +infinity)
Yes because two x's or domains can point to one y
A V

34. What is the range of the cube root function?
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges
x2-x1 because the demonaitor of a quotient can never equal zero
f(x)=3 square root x

35. Draw or discuss a decreasing function
(-infinity - +infinity)
Cannot be drawn in quizlet
Conditional
2nd catalog (zero key -) abs(x) - graph

36. What points do you use to plot the inverse on a graph?
Conditional
Conditional
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
The opposite coordinates

37. what is a range?
The second set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Cannot be drawn in quizlet
f(x)=+c and f(x)-c

38. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
20+.05x=5+.10x x=minutes
x is the hours to repair the boat. $1603-532=anwser/63 = x
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.

39. Of the seven of algebra's common graph's how many are odd?
(-infinity - +infinity)
x^2
Cannot be drawn in quizlet
Three odd - cube root - identity - standard cubic

40. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
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.
negative inverse

41. What does the square root function look like on a graph?
Line ascending to the right gradually
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

42. What is the range of a square root function?
[0 -+infinity)
parabola
Approach neg toward x through zero and above positive close to x
inconsitent

43. how many domains can you have pointing to one range?
f(x)=x^3
As many as you like
f(x^1)=f(x^2)
up

44. What is the formula for the standard cubic function?
Yes - all the domains points to one range
f(x)=x^3
Y
horizontal

45. What are the calculator instructions for the standard cubic function?
parraelle line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x math 3 graph
Y

46. What type of slope do vertical lines have?
(-infinity - 0]U[0 - +infinity)
f(x+c) and f(x-c)
Y= then enter the number then press graph
undefined

47. What is the formula for the square root function?
Set the x and y to zero and get the intercepts and then plot the points
in a quotient
f(x)=suare root of x
Yes because two x's or domains can point to one y

48. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
identity
Three odd - cube root - identity - standard cubic
Y= then enter the number then press graph

49. What direction does f(x)-c move in standard absolute value formula?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
down
x^2

50. What is a constant function?
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
f(x^1)=f(x^2)

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CLEP College Algebra: Functions

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