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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 square root function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
45 degree angle
A V
Line ascending to the right gradually

2. how many domains can you have pointing to one range?
f(x)=IxI
As many as you like
odd
Y=10

3. Standard absolute value - vertical shift formulas for positve and negative
f(x)=IxI
When does a graph not define y as a function of x?
f(x)=+c and f(x)-c
Y=10

4. 4(x-7)=4x-28 is what type of an equation?
same
identity
0<c<1 - horizontal stretching
As many as you like

5. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
As many as you like
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=10

6. What type of slope do you have when the line is horizontal and m=0?
neither
zero slope
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=b

7. What is the domain and range of a constant function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
The secant line
Yes - all the domains points to one range

8. What does the absolute value function look like?
A V
(-infinity - +infinity)
Y=x - identity function
even

9. What direction does f(x)-c move in standard absolute value formula?
only one
Y=10
down
(-infinity - +infinity)

10. What type of line is a constant function?
A line passing through two distinct points
horizontal
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(x)=+c and f(x)-c

11. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
horizontal right
undefined slope
(-infinity - +infinity)

12. What is slope?
A line passing through two distinct points
The minimum or maximum points
function notation
Piecewise

13. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
Square Root
Line ascending to the right gradually
45 degree angle

14. What is the formula for the standard cubic function?
[0 -+infinity)
f(x)=x^3
x math 3 graph
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.

15. Is the square root function odd - even or neither?
neither
2nd key - x^2 - graph
The single number y=
x2-x1 because the demonaitor of a quotient can never equal zero

16. What is the range of the constant function?
The single number y=
parraelle line
2nd key - x^2 - graph
in a quotient

17. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
0<c<1 - horizontal stretching
up
f(x^1)=f(x^2)

18. x=all real numbers is what type of an equation?
f(x2)-f(x1) / x2-x1
x = the original sale price and the formula is x - .40x =$276
horizontal left
identity

19. What is the horizontal line formula?
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=b
horizontal right
f(x)=+c and f(x)-c

20. Standard absolute value - horizontal shift formulas for left and right
f(x)=IxI
(f+g) - (f-g) - (fg) - (f/g) all of x
f(x+c) and f(x-c)
x is the hours to repair the boat. $1603-532=anwser/63 = x

21. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Approach neg toward x through zero and above positive close to 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.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

22. 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
in a quotient
f of g and g of f
2nd catalog (zero key -) abs(x) - graph

23. What is the domain of the cube root function?
(-infinity - 0]U[0 - +infinity)
identity
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

24. Which direction does f(x-c) move
odd
horizontal right
only one
(-infinity - +infinity)

25. What are the calculator instructions for the standard cubic function?
perpendicular line
x math 3 graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
The first set of components of an ordered pair

26. What shape is the standard quadratic function?
f(x)=+c and f(x)-c
math 4 x - graph
(-infinity - +infinity)
parabola

27. what is a range?
(-infinity - +infinity)
Line ascending to the right gradually
zero slope
The second set of components of an ordered pair

28. What type of line is an identity function?
inconsistant
45 degree angle
f of g and g of f
math 4 x - graph

29. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
horizontal left
x = the original sale price and the formula is x - .40x =$276
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

30. Is a constant function even - odd or neither?
Y=x^2 - graph
negative inverse
Mirror image neg quadrant to that of the positive quandrant
even

31. What is a domain?
Square Root
The first set of components of an ordered pair
Set the x and y to zero and get the intercepts and then plot the points
undefined

32. 4x+5x=8x is what type of an equation?
Conditional
(f+g) - (f-g) - (fg) - (f/g) all of x
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)

33. What are the four steps for finding the inverse of a function?
f(x)=IxI
Line ascending to the right gradually
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
x2-x1 because the demonaitor of a quotient can never equal zero

34. Is an absolute value function even - odd or neither?
negative inverse
Change in y / change in x = rise / run = y2-y1 / x2-x1
even
Y=10

35. Is the standard cubic function odd - even 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
x^2
1 -2 -3
odd

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

37. How do you calculate a constant function in your calculator?
The secant line
even
f of g and g of f
Y= then enter the number then press graph

38. What can we substitute for f(x)?
The secant line
f(x+h)-f(x)/h h cannot equal zero
Y=IxI
Y

39. y=f(cx) what does this formula represent?
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.
x = the original sale price and the formula is x - .40x =$276
identity
0<c<1 - horizontal stretching

40. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
C>1 - horizontal shrinking
inconsistant
x^2
1 -2 -3

41. What are the steps for solving a word problem?
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
Yes - all the domains points to one range
even
Square Root

42. how many ranges can you have for each domain?
neither
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x2)-f(x1) / x2-x1
only one

43. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
Y=10
(-infinity - +infinity)
f(x)=x^3

44. What is the domain for the standard cubic function?
f(x+c) and f(x-c)
2nd key - x^2 - graph
(-infinity - +infinity)
f(x)=suare root of x

45. What are two examples of composit functions?
odd
f of g and g of f
math 4 x - graph
parabola - up one and right three

46. What is the slope intercept formula? Define all the variables.
f(x)=3 square root x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
odd
parabola - up one and right three

47. What type of line is a constant function?
Y=b
Cannot be drawn in quizlet
45 degree angle
horizontal

48. What is the domain for a standard quadratic function?
The slope of a line containing two points
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
x is the hours to repair the boat. $1603-532=anwser/63 = x

49. what is the letter used to represent slope?
x2-x1 because the demonaitor of a quotient can never equal zero
f(x2)-f(x1) / x2-x1
m
As many as you like

50. What is a constant function?
f(x^1)=f(x^2)
Yes - all the domains points to one range
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)