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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 points do you use to plot the inverse on a graph?
Set the x and y to zero and get the intercepts and then plot the points
even
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

2. Draw or discuss a constant function
odd
Cannot be drawn in quizlet
Yes - all the domains points to one range
f(x) = x

3. What is the domain for an absolute value function?
x math 3 graph
As many as you like
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.
(-infinity - +infinity)

4. What are the calculator instructions for a square root function?
undefined slope
x^2
2nd key - x^2 - graph
math 4 x - graph

5. 4x+5x=8x is what type of an equation?
Conditional
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
parabola - up one and right three

6. What is the domain and range of a constant function?
f(x^1)=f(x^2)
The minimum or maximum points
(-infinity - +infinity)
The first set of components of an ordered pair

7. Why can h not equal zero in the difference of a quotient function formula?
Yes - all the domains points to one range
x math 3 graph
1 -2 -3
because the demintor of a quotient can never equal zero

8. Is the square root function odd - even or neither?
neither
postiive slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=x - identity function

9. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x2-x1 because the demonaitor of a quotient can never equal zero
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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

10. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
x = the original sale price and the formula is x - .40x =$276
[0 -+infinity)

11. What is the range of an identity function?
parabola - up one and right three
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the 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.
(-infinity - +infinity)

12. What are two examples of composit functions?
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
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.
horizontal
f of g and g of f

13. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
horizontal
parabola - up one and right three

14. What is the range of the constant function?
Square Root
f(x+c) and f(x-c)
The single number y=
up

15. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
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
horizontal right
4 -6 -9
1 -2 -3

16. What type of line is an identity function?
45 degree angle
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
horizontal right

17. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
x2-x1 because the demonaitor of a quotient can never equal zero
(-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

18. What is the range of a square root 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.
[0 -+infinity)
Cannot be drawn in quizlet
2nd key - x^2 - graph

19. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f of g and g of f
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
(f+g) - (f-g) - (fg) - (f/g) all of x

20. x= a real number is what type of equation?
Absolute Value - Constant and Standard Quadratic
odd
Conditional
Y

21. What is another way to write f(x)=x - what type of function is this?
horizontal
function notation
f(x) = x
Y=x - identity function

22. What is the vertical line test?
undefined slope
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x
When does a graph not define y as a function of x?

23. What equation does every line have? Discuss the variables.
45 degree angle
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 slope of a line containing two points
x=a

24. What is the formula for an identity function?
C>1 - horizontal shrinking
f(x) = x
x math 3 graph
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.

25. x=no real numbers is what type of an equation?
even
zero slope
inconsistant
The minimum or maximum points

26. What can we substitute for f(x)?
even
Mirror image neg quadrant to that of the positive quandrant
Y
45 degree angle

27. How do you calculate a constant function in your calculator?
Three odd - cube root - identity - standard cubic
The secant line
horizontal right
Y= then enter the number then press graph

28. What are the algebra of functions?
perpendicular line
(f+g) - (f-g) - (fg) - (f/g) all of x
20+.05x=5+.10x x=minutes
As many as you like

29. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Line ascending to the right gradually
f(x)=IxI
horizontal left

30. 4(x-7)=4x+28 is what type of an equation?
only one
inconsitent
2nd key - x^2 - graph
C>1 - horizontal shrinking

31. What are the calculator instructions for the standard cubic function?
Yes - all the domains points to one range
down
x = the original sale price and the formula is x - .40x =$276
x math 3 graph

32. What type of slope do you have when a line rises from left to right and m>0?
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+h)-f(x)/h h cannot equal zero
postiive slope
0<c<1 - horizontal stretching

33. What type of function would you use to calculate the most advantageous cell phone plan?
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.
horizontal
even

34. What type of slope do horizontal lines have?
C>1 - horizontal shrinking
x=a
inconsistant
same

35. Draw or discuss a decreasing function
x^2
[0 -+infinity)
Cannot be drawn in quizlet
(-infinity - 0]U[0 - +infinity)

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

37. What type of line is a constant function?
horizontal
negative inverse
1 -2 -3
x2-x1 because the demonaitor of a quotient can never equal zero

38. What is the range for the standard cubic function?
(-infinity - +infinity)
f(x)=+c and f(x)-c
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.
undefined

39. What is the line called that illustrates the straight line between the two points when showing average rate of change?
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
The secant line
Conditional
even

40. Standard absolute value - horizontal shift formulas for left and right
horizontal right
Y=IxI
f(x+c) and f(x-c)
function notation

41. y=f(cx) - what does this formula represent?
Line ascending to the right gradually
The secant line
C>1 - horizontal shrinking
When does a graph not define y as a function of x?

42. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
m
horizontal right
horizontal left

43. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
A V
even
Y=x - identity function
20+.05x=5+.10x x=minutes

44. what is the formula for slope?
The secant line
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional
Any set of ordered pairs

45. What type of slope do you have when the line is horizontal and m=0?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
zero slope
f(x)=3 square root x
Cannot be drawn in quizlet

46. What is an identity function?
45 degree angle
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)
negative inverse

47. how many ranges can you have for each domain?
Piecewise
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
only one
Set the x and y to zero and get the intercepts and then plot the points

48. 4(x-7)=4x-28 is what type of an equation?
negative inverse
(-infinity - +infinity)
identity
(-infinity - +infinity)

49. What are the four steps for solving a linear equation?
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.
Three odd - cube root - identity - standard cubic
f of g and g of f
Square Root

50. What is the average rate of change formula?
(-infinity - 0]U[0 - +infinity)
The secant line
45 degree angle
f(x2)-f(x1) / x2-x1