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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?
2nd key - x^2 - graph
x is the hours to repair the boat. $1603-532=anwser/63 = x
x math 3 graph
f(x)=IxI

2. What type of function would you use to calculate the most advantageous cell phone plan?
(-infinity - +infinity)
Piecewise
f(x) = x
Conditional

3. What is the average rate of change formula?
f of g and g of f
As equations
(-infinity - 0]U[0 - +infinity)
f(x2)-f(x1) / x2-x1

4. Why can h not equal zero in the difference of a quotient function formula?
Y=IxI
horizontal right
(-infinity - +infinity)
because the demintor of a quotient can never equal zero

5. Is the standard cubic function odd - even or neither?
The single number y=
odd
x = the original sale price and the formula is x - .40x =$276
x=a

6. 4x+5x=8x is what type of an equation?
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Conditional
horizontal right

7. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
even
A V
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Yes - all the domains points to one range

8. What is the domain of the cube root function?
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
parabola
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

9. What type of line is a constant function?
horizontal
parabola
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x)=+c and f(x)-c

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

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11. What are the calculator instructions for a standard quadratic equation?
no because you cannot have one domain pointing at two y's or ranges
inconsitent
Y=x^2 - graph
Y=x - identity function

12. Which direction does f(x-c) move
horizontal right
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
1 -2 -3

13. What is the slope intercept formula? Define all the variables.
x = the original sale price and the formula is x - .40x =$276
Any set of ordered pairs
f(x)=+c and f(x)-c
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

14. What is the formula for the cube root function?
f(x)=3 square root x
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
2nd key - x^2 - graph
Conditional

15. What is the standard quadratic function?
x^2
C>1 - horizontal shrinking
The first set of components of an ordered pair
(-infinity - 0]U[0 - +infinity)

16. Is an identity function even - odd or neither?
odd
Square Root
identity
because the demintor of a quotient can never equal zero

17. how many domains can you have pointing to one range?
As many as you like
(-infinity - +infinity)
f(x)=3 square root x
4 -6 -9

18. What is the range of a square root function?
0<c<1 - horizontal stretching
2nd key - x^2 - graph
45 degree angle
[0 -+infinity)

19. A flat line underlining one vertical line is a symbol for
math 4 x - 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.
When does a graph not define y as a function of x?
perpendicular line

20. What is slope?
identity
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
A line passing through two distinct points

21. What is the range of an identity 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
[0 -+infinity)
perpendicular line
(-infinity - +infinity)

22. What are the calculator instructions for a square root function?
When does a graph not define y as a function of x?
(-infinity - +infinity)
2nd key - x^2 - graph
Piecewise

23. Is a constant function even - odd or neither?
even
Y=x^2 - graph
Yes - all the domains points to one range
0<c<1 - horizontal stretching

24. What is the domain and range of a constant function?
f(x)=x^3
x = the original sale price and the formula is x - .40x =$276
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)

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

26. What equation does every line have? Discuss the variables.
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(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.
negative inverse

27. Draw or discuss a constant function
(-infinity - +infinity)
Yes - all the domains points to one range
because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet

28. What type of slope do you have when the line is horizontal and m=0?
parabola
postiive slope
Three odd - cube root - identity - standard cubic
zero slope

29. What does linear equation mean?
2nd catalog (zero key -) abs(x) - graph
Equation of a line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
As equations

30. What does the square root function look like on a graph?
Y= then enter the number then press graph
postiive slope
4 -6 -9
Line ascending to the right gradually

31. In an identity function if f(10)=x than what is y?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
Y=10
postiive slope

32. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
[0 -+infinity)
horizontal
The secant line
4 -6 -9

33. Draw or discuss an increasing function
Y=x - identity function
A line passing through two distinct points
Cannot be drawn in quizlet
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

34. What are the steps for solving a word problem?
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
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
f(x)=+c and f(x)-c
(-infinity - +infinity)

35. What are the calculator instructions for the cube root function?
Cannot be drawn in quizlet
math 4 x - graph
f(x)=+c and f(x)-c
Cannot be drawn in quizlet

36. What points do you use to plot the inverse on a graph?
Yes - all the domains points to one range
x2-x1 because the demonaitor of a quotient can never equal zero
Equation of a line
The opposite coordinates

37. What type of slope do vertical lines have?
Yes because two x's or domains can point to one y
undefined
(f+g) - (f-g) - (fg) - (f/g) all of x
m

38. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
f(x+c) and f(x-c)
Y
f(x+h)-f(x)/h h cannot equal zero
1 -2 -3

39. What is the vertex?
inconsitent
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x - identity function
The minimum or maximum points

40. Which direction does f(x)=+c move in standard absolute value formula?
Y
up
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)

41. 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.
Change in y / change in x = rise / run = y2-y1 / x2-x1
x=a
Approach neg toward x through zero and above positive close to x

42. Is a standard quadratic function even - odd or neither?
Y=x - identity function
45 degree angle
even
parabola - up one and right three

43. Which direction does f(x+c) move
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
The minimum or maximum points
horizontal left

44. What direction does f(x)-c move in standard absolute value formula?
Y=x - identity function
As equations
down
inconsitent

45. What is the line called that illustrates the straight line between the two points when showing average rate of change?
horizontal left
(-infinity - +infinity)
The secant line
(f+g) - (f-g) - (fg) - (f/g) all of x

46. What is a function?
Cannot be drawn in quizlet
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x)=x^3
because the demintor of a quotient can never equal zero

47. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
(-infinity - +infinity)
parabola - up one and right three
horizontal

48. What is the domain for the standard cubic function?
Conditional
(-infinity - +infinity)
f(x^1)=f(x^2)
up

49. What is the formula for the square root function?
Y
As many as you like
0<c<1 - horizontal stretching
f(x)=suare root of x

50. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
2nd key - x^2 - graph
x = the original sale price and the formula is x - .40x =$276
Approach neg toward x through zero and above positive close to x
Y=10