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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 the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
odd
in a quotient
Y

2. 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
C>1 - horizontal shrinking
x = the original sale price and the formula is x - .40x =$276
parabola

3. What is another way to write f(x)=x - what type of function is this?
The first set of components of an ordered pair
Y=x - identity function
f(x)=+c and f(x)-c
f(x)=3 square root x

4. how many ranges can you have for each domain?
(-infinity - +infinity)
only one
(-infinity - +infinity)
same

5. x=no real numbers is what type of an equation?
45 degree angle
inconsistant
The slope of a line containing two points
m

6. Is the standard cubic function odd - even or neither?
identity
down
The opposite coordinates
odd

7. What type of slope do vertical lines have?
(-infinity - +infinity)
in a quotient
undefined
perpendicular line

8. Is a constant function even - odd or neither?
even
0<c<1 - horizontal stretching
in a quotient
horizontal

9. What is the standard quadratic function?
parraelle line
x^2
As equations
negative inverse

10. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
in a quotient
x = the original sale price and the formula is x - .40x =$276
odd

11. x= a real number is what type of equation?
Conditional
Y
(-infinity - +infinity)
(-infinity - +infinity)

12. 4x+5x=8x is what type of an equation?
Conditional
Mirror image neg quadrant to that of the positive quandrant
horizontal
As equations

13. What is the range of the constant function?
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 single number y=
Piecewise
x math 3 graph

14. Two vertical lines side by side are a symbol for what
Y=x^2 - graph
Approach neg toward x through zero and above positive close to x
parraelle line
The minimum or maximum points

15. Is the square root function odd - even or neither?
neither
Approach neg toward x through zero and above positive close to x
The second set of components of an ordered pair
(-infinity - +infinity)

16. What is a constant function?
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.
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - 0]U[0 - +infinity)
f(x^1)=f(x^2)

17. Why can h not equal zero in the difference of a quotient function formula?
4 -6 -9
The opposite coordinates
Cannot be drawn in quizlet
because the demintor of a quotient can never equal zero

18. What shape is the standard quadratic function?
f(x+h)-f(x)/h h cannot equal zero
identity
parabola
(-infinity - +infinity)

19. What is the formula for to calculate the difference of a quotient function?
A V
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x+h)-f(x)/h h cannot equal zero
A line passing through two distinct points

20. Of the seven of algebra's common graph's how many are neither?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The slope of a line containing two points
f(x)=IxI
Square Root

21. What is a function?
The slope of a line containing two points
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
f(x)=IxI

22. What type of function would you use to calculate the most advantageous cell phone plan?
x2-x1 because the demonaitor of a quotient can never equal zero
f of g and g of f
Approach neg toward x through zero and above positive close to x
Piecewise

23. How would this formula move f(x)=(x+1)^2-3
1 -2 -3
Absolute Value - Constant and Standard Quadratic
parabola - up one and right three
[0 -+infinity)

24. What does the standard cubic function look like on a graph?
f(x)=IxI
x = the original sale price and the formula is x - .40x =$276
Mirror image neg quadrant to that of the positive quandrant
horizontal right

25. What is the domain for an absolute value function?
parraelle line
Y=IxI
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

26. What is the range of an identity function?
(-infinity - +infinity)
neither
negative slope
Line ascending to the right gradually

27. Of the seven of algebra's common graph's how many are odd?
Y
When does a graph not define y as a function of x?
Equation of a line
Three odd - cube root - identity - standard cubic

28. What is slope?
The opposite coordinates
A line passing through two distinct points
Three odd - cube root - identity - standard cubic
f(x)=IxI

29. What type of line is a constant function?
m
horizontal
The single number y=
zero slope

30. x=all real numbers is what type of an equation?
Cannot be drawn in quizlet
When does a graph not define y as a function of x?
identity
Change in y / change in x = rise / run = y2-y1 / x2-x1

31. What is the formula for an absolute value function?
f(x)=IxI
(-infinity - +infinity)
Y=x^2 - graph
horizontal

32. What is the vertical line test?
identity
When does a graph not define y as a function of x?
[0 -+infinity)
The second set of components of an ordered pair

33. What is the range for an absolute value function?
x = the original sale price and the formula is x - .40x =$276
Approach neg toward x through zero and above positive close to x
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 - 0]U[0 - +infinity)

34. Is an identity function even - odd or neither?
horizontal
odd
x2-x1 because the demonaitor of a quotient can never equal zero
The single number y=

35. Standard absolute value - horizontal shift formulas for left and right
Equation of a line
f(x+c) and f(x-c)
(-infinity - +infinity)
f(x^1)=f(x^2)

36. What is the point slope formula and when do you use it?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Square Root
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
parabola

37. f(x) = x^2+3x+5 - what type of formula is this?
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
horizontal
When does a graph not define y as a function of x?
function notation

38. What is the formula for the cube root function?
Equation of a line
f(x)=3 square root x
Cannot be drawn in quizlet
parabola

39. Draw or discuss a constant function
Y= then enter the number then press graph
Line ascending to the right gradually
Cannot be drawn in quizlet
Any set of ordered pairs

40. Of the seven of algebra's common graph's how many are even?
A line passing through two distinct points
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet
(-infinity - 0]U[0 - +infinity)

41. 4(x-7)=4x-28 is what type of an equation?
identity
Any set of ordered pairs
Cannot be drawn in quizlet
perpendicular line

42. What direction does f(x)-c move in standard absolute value formula?
0<c<1 - horizontal stretching
Y= then enter the number then press graph
A line passing through two distinct points
down

43. What type of slope do you have when m=? and the line is vertical?
Y
undefined slope
same
Y=b

44. What is the domain of the cube root function?
(-infinity - +infinity)
math 4 x - graph
f(x)=+c and f(x)-c
neither

45. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
2nd catalog (zero key -) abs(x) - graph
4 -6 -9
1 -2 -3
function notation

46. What is a domain?
The first set of components of an ordered pair
even
(-infinity - +infinity)
Piecewise

47. What are the calculator instructions for a square root function?
Mirror image neg quadrant to that of the positive quandrant
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
2nd key - x^2 - graph
f(x^1)=f(x^2)

48. What is the vertex?
The minimum or maximum points
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
f(x)=3 square root x

49. What is the vertical line formula?
down
perpendicular line
f of g and g of f
x=a

50. What is the formula for the square root function?
f(x)=suare root of x
Cannot be drawn in quizlet
identity
x=a