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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 domain for a standard quadratic function?
negative slope
zero slope
(-infinity - +infinity)
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

2. y=f(cx) - what does this formula represent?
(-infinity - +infinity)
horizontal right
C>1 - horizontal shrinking
x=a

3. 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
Square Root
horizontal right
Change in y / change in x = rise / run = y2-y1 / x2-x1

4. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
negative slope
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
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

5. What is a relation?
2nd catalog (zero key -) abs(x) - graph
Any set of ordered pairs
As equations
Line ascending to the right gradually

6. What does the absolute value function look like?
f(x^1)=f(x^2)
odd
f of g and g of f
A V

7. What type of function would you use to calculate the most advantageous cell phone plan?
parabola - up one and right three
f(x+c) and f(x-c)
Piecewise
inconsitent

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

9. Of the seven of algebra's common graph's how many are neither?
1 -2 -3
no because you cannot have one domain pointing at two y's or ranges
Line ascending to the right gradually
Square Root

10. What is the range of the cube root function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
down
(-infinity - +infinity)

11. Is the square root function odd - even or neither?
(-infinity - +infinity)
x math 3 graph
neither
A line passing through two distinct points

12. Which direction does f(x)=+c move in standard absolute value formula?
Conditional
x math 3 graph
Cannot be drawn in quizlet
up

13. What is an identity function?
45 degree angle
As many as you like
(-infinity - +infinity)
only one

14. What type of line is a constant function?
1 -2 -3
horizontal
Equation of a line
f(x)=3 square root x

15. What type of slope do you have when m=? and the line is vertical?
x math 3 graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
undefined slope

16. What is the domain of the cube root function?
postiive slope
[0 -+infinity)
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

17. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to 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.

18. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x math 3 graph
in a quotient
x = the original sale price and the formula is x - .40x =$276
Piecewise

19. What is the formula in both horizontal stretching and horizontal shrinking?
Approach neg toward x through zero and above positive close to x
As many as you like
f(x)=+c and f(x)-c
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

20. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
f(x)=IxI
f(x+h)-f(x)/h h cannot equal zero
Y=10

21. What is the slope intercept formula? Define all 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
(-infinity - +infinity)
Y= then enter the number then press graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

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

23. What type of slope do you have when a line rises from left to right and m>0?
zero slope
The second set of components of an ordered pair
postiive slope
negative slope

24. What are the algebra of functions?
Mirror image neg quadrant to that of the positive quandrant
f of g and g of f
parabola
(f+g) - (f-g) - (fg) - (f/g) all of x

25. Which direction does f(x-c) move
horizontal right
x = the original sale price and the formula is x - .40x =$276
identity
(-infinity - +infinity)

26. What type of line is an identity function?
parraelle line
math 4 x - graph
horizontal right
45 degree angle

27. Of the seven of algebra's common graph's how many are odd?
even
Three odd - cube root - identity - standard cubic
Conditional
m

28. What is the vertical line formula?
horizontal
x=a
even
even

29. What is the formula for the standard cubic function?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
Absolute Value - Constant and Standard Quadratic
f(x)=x^3

30. how many domains can you have pointing to one range?
As many as you like
f(x)=x^3
Y=10
1 -2 -3

31. What is the domain of an identity function?
(-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
m
1 -2 -3

32. What are the four steps for solving a linear equation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
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)=x^3

33. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
only one
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
The opposite coordinates
even

34. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
Three odd - cube root - identity - standard cubic
odd
m

35. What is the formula for to calculate the difference of a quotient function?
even
A V
f(x2)-f(x1) / x2-x1
f(x+h)-f(x)/h h cannot equal zero

36. Is an absolute value function even - odd or neither?
45 degree angle
The second set of components of an ordered pair
horizontal
even

37. Two vertical lines side by side are a symbol for what
Piecewise
x^2
(-infinity - +infinity)
parraelle line

38. How do you graph Ax+By+C=0?
f(x) = x
x = the original sale price and the formula is x - .40x =$276
Set the x and y to zero and get the intercepts and then plot the points
only one

39. What is the range for the standard cubic function?
zero slope
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=10

40. x=all real numbers is what type of an equation?
odd
identity
x = the original sale price and the formula is x - .40x =$276
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

41. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
The first set of components of an ordered pair
[0 -+infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

42. 4x+5x=8x is what type of an equation?
Three odd - cube root - identity - standard cubic
Conditional
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
[0 -+infinity)

43. Is an identity function even - odd or neither?
identity
even
odd
m

44. Draw or discuss an increasing function
Y=x^2 - graph
Cannot be drawn in quizlet
negative slope
The slope of a line containing two points

45. What is a constant function?
(-infinity - +infinity)
Y=x - identity function
f(x^1)=f(x^2)
Cannot be drawn in quizlet

46. What is the slope of a perpendicular line?
zero slope
in a quotient
(-infinity - 0]U[0 - +infinity)
negative inverse

47. Is a standard quadratic function even - odd or neither?
As equations
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.
Change in y / change in x = rise / run = y2-y1 / x2-x1

48. What is the formula for the cube root function?
(-infinity - +infinity)
f(x)=3 square root x
in a quotient
(-infinity - +infinity)

49. How are functions normally written?
f of g and g of f
Mirror image neg quadrant to that of the positive quandrant
As equations
(-infinity - 0]U[0 - +infinity)

50. What does the average rate of change formula solve?
Absolute Value - Constant and Standard Quadratic
Line ascending to the right gradually
The secant line
The slope of a line containing two points