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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 are the calculator instructions for the standard cubic function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
x math 3 graph
up
m

2. what is the letter used to represent slope?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Mirror image neg quadrant to that of the positive quandrant
x=a
m

3. x=no real numbers is what type of an equation?
The single number y=
inconsistant
Square Root
Cannot be drawn in quizlet

4. What is a function?
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
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.
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
zero slope

5. What is an identity function?
identity
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
parabola - up one and right three

6. Is an identity function even - odd or neither?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(f+g) - (f-g) - (fg) - (f/g) all of x
20+.05x=5+.10x x=minutes
odd

7. What is the domain for a standard quadratic function?
x=a
(-infinity - +infinity)
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
because the demintor of a quotient can never equal zero

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

9. What is the vertex?
(-infinity - +infinity)
The minimum or maximum points
Y=b
f(x) = x

10. What is the formula for the square root function?
(-infinity - +infinity)
math 4 x - graph
Cannot be drawn in quizlet
f(x)=suare root of x

11. What is the average rate of change formula?
x=a
f(x2)-f(x1) / x2-x1
(f+g) - (f-g) - (fg) - (f/g) all of x
Yes because two x's or domains can point to one y

12. how many domains can you have pointing to one range?
Equation of a line
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
As many as you like

13. What are the calculator instructions for a standard quadratic equation?
only one
Y=x^2 - graph
f of g and g of f
x2-x1 because the demonaitor of a quotient can never equal zero

14. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
horizontal right
f(x+h)-f(x)/h h cannot equal zero
1 -2 -3
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 a standard quadratic function even - odd or neither?
f(x2)-f(x1) / x2-x1
45 degree angle
horizontal right
even

16. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
[0 -+infinity)
Y=10
f(x)=x^3

17. What does the square root function look like on a graph?
Line ascending to the right gradually
f(x+c) and f(x-c)
A V
f of g and g of f

18. What is the formula for to calculate the difference of a quotient function?
because the demintor of a quotient can never equal zero
f(x)=IxI
even
f(x+h)-f(x)/h h cannot equal zero

19. x=all real numbers is what type of an equation?
(-infinity - +infinity)
Cannot be drawn in quizlet
identity
same

20. y=f(cx) what does this formula represent?
Conditional
0<c<1 - horizontal stretching
[0 -+infinity)
(-infinity - +infinity)

21. What points do you use to plot the inverse on a 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
1 -2 -3
Y=b
The opposite coordinates

22. Which direction does f(x-c) move
Y=IxI
horizontal right
in a quotient
Y= then enter the number then press graph

23. What is a relation?
Y=IxI
f(x)=3 square root x
Any set of ordered pairs
down

24. What are the calculator instructions for absolute value?
zero slope
Cannot be drawn in quizlet
parraelle line
2nd catalog (zero key -) abs(x) - graph

25. Is an absolute value function even - odd or neither?
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
even
20+.05x=5+.10x x=minutes
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

26. what is the formula for slope?
The slope of a line containing two points
The second set of components of an ordered pair
Change in y / change in x = rise / run = y2-y1 / x2-x1
in a quotient

27. How do you calculate a constant function in your calculator?
Y=x - identity function
Square Root
(-infinity - 0]U[0 - +infinity)
Y= then enter the number then press graph

28. What does the average rate of change formula solve?
Y= then enter the number then press graph
The slope of a line containing two points
same
m

29. y=f(cx) - what does this formula represent?
Line ascending to the right gradually
C>1 - horizontal shrinking
The minimum or maximum points
x^2

30. What is the formula for an identity function?
f(x)=+c and f(x)-c
f(x) = x
C>1 - horizontal shrinking
45 degree angle

31. what is a range?
x = the original sale price and the formula is x - .40x =$276
same
The second set of components of an ordered pair
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.

32. What is the range of the cube root function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x)=+c and f(x)-c
(-infinity - +infinity)
Piecewise

33. What is the point slope formula and when do you use it?
even
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
only one
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

34. What is the domain for the standard cubic function?
horizontal
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
function notation

35. How do you graph Ax+By+C=0?
x=a
zero slope
Set the x and y to zero and get the intercepts and then plot the points
f(x) = x

36. what can never equal zero in the slope formula and why?
2nd key - x^2 - graph
identity
x2-x1 because the demonaitor of a quotient can never equal zero
The single number y=

37. What are the four steps for solving a linear equation?
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.
f(x)=3 square root x
(-infinity - +infinity)

38. Is the square root function odd - even or neither?
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
Y=10
neither
x = the original sale price and the formula is x - .40x =$276

39. What is the domain for an absolute value function?
x = the original sale price and the formula is x - .40x =$276
2nd key - x^2 - graph
Y=10
(-infinity - +infinity)

40. What does the absolute value function look like?
(-infinity - +infinity)
Cannot be drawn in quizlet
The minimum or maximum points
A V

41. What are the four steps for finding the inverse of a function?
2nd key - x^2 - graph
Y=10
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
identity

42. What is the domain of an identity function?
(-infinity - +infinity)
Yes because two x's or domains can point to one y
Y=b
undefined

43. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
undefined slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
x=a
Square Root

44. What is the slope intercept formula? Define all the variables.
identity
Yes - all the domains points to one range
parabola
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

45. What are the calculator instructions for a square root function?
Line ascending to the right gradually
2nd key - x^2 - graph
identity
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

46. Of the seven of algebra's common graph's how many are even?
As many as you like
(-infinity - +infinity)
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic

47. What are two examples of composit functions?
Yes because two x's or domains can point to one y
The minimum or maximum points
f of g and g of f
[0 -+infinity)

48. What is slope?
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
A line passing through two distinct points
even

49. Is the standard cubic function odd - even or neither?
f(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
45 degree angle
odd

50. how many ranges can you have for each domain?
Change in y / change in x = rise / run = y2-y1 / x2-x1
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
(-infinity - 0]U[0 - +infinity)
only one