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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 is a range?
undefined
The second set of components of an ordered pair
f(x)=IxI
x math 3 graph

2. How are functions normally written?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
negative slope
Cannot be drawn in quizlet
As equations

3. What is the range of an identity function?
(-infinity - +infinity)
Piecewise
neither
2nd catalog (zero key -) abs(x) - graph

4. What does the average rate of change formula solve?
The slope of a line containing two points
Y=x - identity function
f(x)=x^3
even

5. What does the graph of the cube root function look like on the graph?
math 4 x - graph
The single number y=
horizontal
Approach neg toward x through zero and above positive close to x

6. What shape is the standard quadratic function?
neither
even
Y= then enter the number then press graph
parabola

7. What is the average rate of change formula?
Absolute Value - Constant and Standard Quadratic
As equations
Yes - all the domains points to one range
f(x2)-f(x1) / x2-x1

8. Why can h not equal zero in the difference of a quotient function formula?
x is the hours to repair the boat. $1603-532=anwser/63 = x
because the demintor of a quotient can never equal zero
As many as you like
Any set of ordered pairs

9. Is the square root function odd - even or neither?
Y=10
parraelle line
neither
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

10. what can never equal zero in the slope formula and why?
Square Root
Approach neg toward x through zero and above positive close to x
x2-x1 because the demonaitor of a quotient can never equal zero
undefined

11. What are the calculator instructions for the standard cubic function?
20+.05x=5+.10x x=minutes
horizontal left
Conditional
x math 3 graph

12. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
same
x math 3 graph

13. Standard absolute value - horizontal shift formulas for left and right
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
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+c) and f(x-c)

14. What are the four steps for finding the inverse of a function?
f(x)=x^3
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
perpendicular line
Mirror image neg quadrant to that of the positive quandrant

15. $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?
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
inconsistant
The slope of a line containing two points
down

16. What is the range for a standard quadratic function?
m
(-infinity - 0]U[0 - +infinity)
x = the original sale price and the formula is x - .40x =$276
horizontal right

17. What is the domain of a square root function?
The opposite coordinates
(-infinity - +infinity)
[0 -+infinity)
f(x2)-f(x1) / x2-x1

18. how many domains can you have pointing to one range?
parabola
As many as you like
(-infinity - 0]U[0 - +infinity)
f(x)=suare root of x

19. What type of slope do horizontal lines have?
perpendicular line
Y=IxI
same
even

20. What is the formula for to calculate the difference of a quotient function?
(-infinity - +infinity)
odd
Three odd - cube root - identity - standard cubic
f(x+h)-f(x)/h h cannot equal zero

21. How do you graph Ax+By+C=0?
odd
f(x)=suare root of x
f(x)=IxI
Set the x and y to zero and get the intercepts and then plot the points

22. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
no because you cannot have one domain pointing at two y's or ranges
Line ascending to the right gradually
(-infinity - 0]U[0 - +infinity)

23. Is an identity function even - odd or neither?
horizontal left
horizontal right
odd
parabola - up one and right three

24. What type of slope do you have when the line is horizontal and m=0?
C>1 - horizontal shrinking
negative inverse
zero slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

25. Which direction does f(x)=+c move in standard absolute value formula?
A line passing through two distinct points
up
even
function notation

26. What are the calculator instructions for a standard quadratic equation?
C>1 - horizontal shrinking
2nd catalog (zero key -) abs(x) - graph
up
Y=x^2 - graph

27. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
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.
zero slope

28. What is the formula for the cube root function?
Cannot be drawn in quizlet
As many as you like
f(x)=3 square root x
The single number y=

29. 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.
f(x)=IxI
x = the original sale price and the formula is x - .40x =$276
up

30. What is the formula for an absolute value function?
negative inverse
zero slope
[0 -+infinity)
f(x)=IxI

31. What is the range of the cube root function?
f of g and g of f
f(x)=x^3
(-infinity - +infinity)
Conditional

32. What is the vertex?
horizontal left
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.
The minimum or maximum points
math 4 x - graph

33. What is a relation?
identity
Yes - all the domains points to one range
even
Any set of ordered pairs

34. What is the domain for a standard quadratic function?
(-infinity - +infinity)
zero slope
f(x) = x
x is the hours to repair the boat. $1603-532=anwser/63 = x

35. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
odd
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
1 -2 -3

36. Two vertical lines side by side are a symbol for what
parraelle line
4 -6 -9
Equation of a line
zero slope

37. What are two examples of composit functions?
(-infinity - +infinity)
math 4 x - graph
Square Root
f of g and g of f

38. Draw or discuss a constant function
x=a
identity
Y
Cannot be drawn in quizlet

39. What are the four steps for solving a linear equation?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
negative slope
zero slope
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.

40. What direction does f(x)-c move in standard absolute value formula?
down
inconsitent
horizontal right
because the demintor of a quotient can never equal zero

41. x=all real numbers is what type of an equation?
20+.05x=5+.10x x=minutes
odd
identity
f(x)=x^3

42. Which direction does f(x-c) move
Approach neg toward x through zero and above positive close to x
horizontal right
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.
f(x) = x

43. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
20+.05x=5+.10x x=minutes
f(x)=3 square root x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

44. What is the vertical line test?
down
When does a graph not define y as a function of 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.
Cannot be drawn in quizlet

45. What type of line is a constant function?
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
A line passing through two distinct points
horizontal
A V

46. Draw or discuss a decreasing function
Cannot be drawn in quizlet
Three odd - cube root - identity - standard cubic
only one
(-infinity - 0]U[0 - +infinity)

47. What is a function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=10
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.

48. What does the square root function look like on a graph?
A line passing through two distinct points
only one
x math 3 graph
Line ascending to the right gradually

49. Is an absolute value function even - odd or neither?
(-infinity - +infinity)
even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Cannot be drawn in quizlet

50. What equation does every line have? Discuss the variables.
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
Square Root
f of g and g of f
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.