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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. How would this formula move f(x)=(x+1)^2-3
identity
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
As equations
parabola - up one and right three

2. What is slope?
f(x)=3 square root x
down
Conditional
A line passing through two distinct points

3. What points do you use to plot the inverse on a graph?
no because you cannot have one domain pointing at two y's or ranges
The opposite coordinates
2nd key - x^2 - graph
45 degree angle

4. Of the seven of algebra's common graph's how many are odd?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Piecewise
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)

5. What is the domain of the cube root function?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
Y= then enter the number then press graph
f(x)=suare root of x

6. Draw or discuss a constant function
x = the original sale price and the formula is x - .40x =$276
Y=x^2 - graph
Cannot be drawn in quizlet
When does a graph not define y as a function of x?

7. Is the standard cubic function odd - even or neither?
in a quotient
odd
neither
f of g and g of f

8. What is the vertical line formula?
The secant line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x=a
Y=x - identity function

9. how many domains can you have pointing to one range?
(-infinity - 0]U[0 - +infinity)
As many as you like
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The single number y=

10. 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.
math 4 x - graph
C>1 - horizontal shrinking
0<c<1 - horizontal stretching

11. What does the average rate of change formula solve?
The slope of a line containing two points
C>1 - horizontal shrinking
Yes because two x's or domains can point to one y
up

12. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
undefined slope
f(x+h)-f(x)/h h cannot equal zero

13. What does the graph of the cube root function look like on the graph?
The minimum or maximum points
The slope of a line containing two points
Approach neg toward x through zero and above positive close to x
horizontal

14. Of the seven of algebra's common graph's how many are neither?
f(x)=suare root of x
Square Root
f of g and g of f
The slope of a line containing two points

15. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
2nd key - x^2 - graph
even
(-infinity - +infinity)

16. Standard absolute value - vertical shift formulas for positve and negative
postiive slope
f(x)=+c and f(x)-c
The opposite coordinates
(-infinity - +infinity)

17. What does the square root function look like on a graph?
because the demintor of a quotient can never equal zero
Line ascending to the right gradually
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)

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

19. 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.
Absolute Value - Constant and Standard Quadratic
The secant line
The single number y=

20. What type of function would you use to calculate the most advantageous cell phone plan?
[0 -+infinity)
0<c<1 - horizontal stretching
undefined
Piecewise

21. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Approach neg toward x through zero and above positive close to x
parraelle line
f(x+c) and f(x-c)
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

22. What type of slope do you have when a line rises from left to right and m>0?
because the demintor of a quotient can never equal zero
postiive slope
f(x) = 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.

23. In an identity function if f(10)=x than what is y?
Set the x and y to zero and get the intercepts and then plot the points
Y=10
x math 3 graph
(-infinity - +infinity)

24. What type of slope do you have when m=? and the line is vertical?
(-infinity - +infinity)
f(x^1)=f(x^2)
f(x+c) and f(x-c)
undefined slope

25. Draw or discuss a decreasing function
x2-x1 because the demonaitor of a quotient can never equal zero
parraelle line
Cannot be drawn in quizlet
(-infinity - +infinity)

26. Which direction does f(x)=+c move in standard absolute value formula?
up
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 right
function notation

27. what is the formula for slope?
2nd key - x^2 - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
0<c<1 - horizontal stretching
(-infinity - +infinity)

28. What type of line is a constant function?
down
f(x)=x^3
horizontal
45 degree angle

29. What can we substitute for f(x)?
identity
Y
The second set of components of an ordered pair
x is the hours to repair the boat. $1603-532=anwser/63 = x

30. What is the formula for the standard cubic function?
4 -6 -9
f(x)=x^3
parabola
f(x)=+c and f(x)-c

31. What is the domain and range of a constant function?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The single number y=
The first set of components of an ordered pair

32. What are the calculator instructions for a square root function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
2nd key - x^2 - graph
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

33. Draw or discuss an increasing function
up
Conditional
[0 -+infinity)
Cannot be drawn in quizlet

34. f(x) = x^2+3x+5 - what type of formula is this?
(-infinity - +infinity)
function notation
2nd key - x^2 - graph
even

35. What is the vertex?
The minimum or maximum points
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
identity
x = the original sale price and the formula is x - .40x =$276

36. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
neither
A line passing through two distinct points
f(x)=3 square root x

37. When is the only time (-infinity - +infinity) is not the domain?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
in a quotient
parabola

38. What is the range for an absolute value function?
no because you cannot have one domain pointing at two y's or ranges
f(x)=suare root of x
postiive slope
(-infinity - 0]U[0 - +infinity)

39. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Cannot be drawn in quizlet
4 -6 -9
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

40. What is a constant function?
because the demintor of a quotient can never 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
f(x^1)=f(x^2)
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.

41. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
f(x)=IxI
2nd key - x^2 - graph
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

42. What equation does every line have? Discuss the variables.
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.
no because you cannot have one domain pointing at two y's or ranges
x2-x1 because the demonaitor of a quotient can never equal zero
inconsistant

43. What is the domain for an absolute value function?
C>1 - horizontal shrinking
x is the hours to repair the boat. $1603-532=anwser/63 = x
A line passing through two distinct points
(-infinity - +infinity)

44. What is the range of an identity function?
(-infinity - +infinity)
Conditional
up
Yes because two x's or domains can point to one y

45. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
As equations
The single number y=
Y=b

46. What is the domain of an identity function?
45 degree angle
(-infinity - +infinity)
horizontal left
Change in y / change in x = rise / run = y2-y1 / x2-x1

47. What is the average rate of change formula?
up
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=b
f(x2)-f(x1) / x2-x1

48. x=no real numbers is what type of an equation?
only one
f(x^1)=f(x^2)
inconsistant
Y= then enter the number then press graph

49. What are the steps for solving a word problem?
Y
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
2nd catalog (zero key -) abs(x) - graph
The slope of a line containing two points

50. 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
Y=IxI
horizontal
A line passing through two distinct points