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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 does the absolute value function look like?
A V
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
perpendicular line

2. In an identity function if f(10)=x than what is y?
Y=10
Cannot be drawn in quizlet
(-infinity - +infinity)
inconsistant

3. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
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
x2-x1 because the demonaitor of a quotient can never equal zero
undefined slope

4. What type of slope do you have when m=? and the line is vertical?
because the demintor of a quotient can never equal zero
x2-x1 because the demonaitor of a quotient can never equal zero
undefined slope
f(x)=+c and f(x)-c

5. What are the algebra of functions?
same
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
zero slope

6. What are two examples of composit functions?
no because you cannot have one domain pointing at two y's or ranges
Cannot be drawn in quizlet
x math 3 graph
f of g and g of f

7. what is a range?
The second set of components of an ordered pair
Any set of ordered pairs
The slope of a line containing two points
(-infinity - +infinity)

8. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
Line ascending to the right gradually
Conditional
[0 -+infinity)
x = the original sale price and the formula is x - .40x =$276

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

10. What does linear equation mean?
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
Equation of a line
down

11. What are the four steps for finding the inverse of a function?
m
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
As equations
Y=x - identity function

12. What type of slope do horizontal lines have?
0<c<1 - horizontal stretching
45 degree angle
The minimum or maximum points
same

13. What is the formula in both horizontal stretching and horizontal shrinking?
negative inverse
Any set of ordered pairs
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
odd

14. Two vertical lines side by side are a symbol for what
inconsistant
parraelle line
zero slope
no because you cannot have one domain pointing at two y's or ranges

15. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
f(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)
x math 3 graph

16. What is the vertical line test?
Y=10
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
When does a graph not define y as a function of x?

17. How would this formula move f(x)=(x+1)^2-3
Cannot be drawn in quizlet
parabola - up one and right three
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.

18. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
Set the x and y to zero and get the intercepts and then plot the points
inconsistant
x = the original sale price and the formula is x - .40x =$276

19. What shape is the standard quadratic function?
Conditional
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.
parabola
x=a

20. Draw or discuss a decreasing function
The slope of a line containing two points
Cannot be drawn in quizlet
(-infinity - +infinity)
horizontal left

21. How do you graph Ax+By+C=0?
(-infinity - 0]U[0 - +infinity)
Yes - all the domains points to one range
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)

22. How are functions normally written?
(-infinity - +infinity)
Cannot be drawn in quizlet
only one
As equations

23. What is the domain for the standard cubic function?
Y
(-infinity - +infinity)
f(x)=+c and f(x)-c
parabola

24. Is an identity function even - odd or neither?
odd
inconsistant
Piecewise
45 degree angle

25. What is the formula for an absolute value function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
because the demintor of a quotient can never equal zero
4 -6 -9
f(x)=IxI

26. how many domains can you have pointing to one range?
only one
When does a graph not define y as a function of x?
Cannot be drawn in quizlet
As many as you like

27. What is the domain for an absolute value function?
(-infinity - +infinity)
Cannot be drawn in quizlet
identity
in a quotient

28. What is the vertical line formula?
x=a
Y=x^2 - graph
Conditional
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

29. Is the square root function odd - even or neither?
Line ascending to the right gradually
(-infinity - +infinity)
A V
neither

30. 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
f(x) = x
(-infinity - 0]U[0 - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

31. What is the domain of a square root function?
(-infinity - +infinity)
(-infinity - +infinity)
[0 -+infinity)
1 -2 -3

32. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
Line ascending to the right gradually
(-infinity - +infinity)
horizontal

33. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
As equations
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
identity

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

35. What is the line called that illustrates the straight line between the two points when showing average rate of change?
because the demintor of a quotient can never equal zero
The secant line
(-infinity - +infinity)
[0 -+infinity)

36. What is the domain of the cube root function?
A line passing through two distinct points
(f+g) - (f-g) - (fg) - (f/g) all of x
Y
(-infinity - +infinity)

37. What is the formula for an identity function?
A line passing through two distinct points
f(x) = x
Piecewise
Absolute Value - Constant and Standard Quadratic

38. What points do you use to plot the inverse on a graph?
(-infinity - +infinity)
The opposite coordinates
same
(-infinity - 0]U[0 - +infinity)

39. 4x+5x=8x is what type of an equation?
0<c<1 - horizontal stretching
As equations
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

40. What is the slope of a perpendicular line?
m
negative inverse
odd
[0 -+infinity)

41. Is a standard quadratic function even - odd or neither?
even
Line ascending to the right gradually
f(x)=3 square root x
inconsitent

42. Of the seven of algebra's common graph's how many are even?
Y= then enter the number then press graph
odd
Mirror image neg quadrant to that of the positive quandrant
Absolute Value - Constant and Standard Quadratic

43. What is another way of writing the absolute value function?
As many as you like
(-infinity - +infinity)
horizontal
Y=IxI

44. Which direction does f(x)=+c move in standard absolute value formula?
inconsitent
Piecewise
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.
up

45. What is the formula for the cube root function?
Conditional
The slope of a line containing two points
As equations
f(x)=3 square root x

46. 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?
f(x)=IxI
undefined slope
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=IxI

47. What is the domain of an identity function?
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
because the demintor of a quotient can never equal zero
zero slope

48. x=all real numbers is what type of an equation?
The second set of components of an ordered pair
(-infinity - +infinity)
identity
Y= then enter the number then press graph

49. Is an absolute value function even - odd or 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
even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
horizontal right

50. What is the domain and range of a constant function?
odd
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=IxI