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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 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.
f of g and g of f
The secant line
2nd key - x^2 - graph

2. What is the domain for the standard cubic function?
f(x)=IxI
(-infinity - +infinity)
parraelle line
20+.05x=5+.10x x=minutes

3. What is a constant function?
f(x^1)=f(x^2)
[0 -+infinity)
f(x2)-f(x1) / x2-x1
Approach neg toward x through zero and above positive close to x

4. What is the domain and range of a constant function?
(-infinity - 0]U[0 - +infinity)
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
Cannot be drawn in quizlet

5. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Square Root
The secant line
The first set of components of an ordered pair
parabola - up one and right three

6. What does the average rate of change formula solve?
The slope of a line containing two points
Any set of ordered pairs
Equation of a line
horizontal left

7. What type of line is a constant function?
horizontal
Y=x^2 - graph
f(x)=3 square root x
[0 -+infinity)

8. What does the standard cubic function look like on a graph?
odd
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

9. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
x^2
because the demintor of a quotient can never equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

10. Standard absolute value - vertical shift formulas for positve and negative
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
undefined slope
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.

11. What type of line is a constant function?
horizontal
x2-x1 because the demonaitor of a quotient can never equal zero
2nd key - x^2 - graph
down

12. What type of slope do you have when a line rises from left to right and m>0?
As equations
postiive slope
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
zero slope

13. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x = the original sale price and the formula is x - .40x =$276
[0 -+infinity)
no because you cannot have one domain pointing at two y's or ranges
inconsistant

14. What direction does f(x)-c move in standard absolute value formula?
f(x) = x
odd
f(x)=IxI
down

15. Of the seven of algebra's common graph's how many are even?
undefined slope
Absolute Value - Constant and Standard Quadratic
undefined
(-infinity - +infinity)

16. What are the calculator instructions for the cube root function?
f(x)=IxI
parabola - up one and right three
Y=b
math 4 x - graph

17. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
45 degree angle
x = the original sale price and the formula is x - .40x =$276
Y=x^2 - graph

18. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
0<c<1 - horizontal stretching
Y=b

19. What is the domain of an identity function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
x2-x1 because the demonaitor of a quotient can never equal zero

20. What equation does every line have? Discuss the variables.
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.
even
Piecewise

21. What is the point slope formula and when do you use it?
perpendicular line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y= then enter the number then press graph
When does a graph not define y as a function of x?

22. How do you calculate a constant function in your calculator?
[0 -+infinity)
Y=10
Y= then enter the number then press graph
parabola - up one and right three

23. What is an identity function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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
45 degree angle

24. Draw or discuss an increasing function
Cannot be drawn in quizlet
Y= then enter the number then press graph
same
perpendicular line

25. What shape is the standard quadratic function?
parabola
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
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

26. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
Conditional
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet

27. 4(x-7)=4x+28 is what type of an equation?
odd
45 degree angle
inconsitent
inconsistant

28. What is the range of the cube root function?
in a quotient
The secant line
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

29. y=f(cx) - what does this formula represent?
horizontal left
(-infinity - 0]U[0 - +infinity)
C>1 - horizontal shrinking
Cannot be drawn in quizlet

30. Draw or discuss a constant function
Cannot be drawn in quizlet
Y=b
Three odd - cube root - identity - standard cubic
f(x)=+c and f(x)-c

31. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
only one
Conditional
Y=b

32. Draw or discuss a decreasing function
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet
When does a graph not define y as a function of x?
undefined slope

33. Two vertical lines side by side are a symbol for what
Piecewise
(-infinity - +infinity)
parraelle line
odd

34. $50 -000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6 -000. What is x and what is the formula?
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
45 degree angle
postiive slope
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

35. What is the slope of a perpendicular line?
identity
negative inverse
Y=x - identity function
Y= then enter the number then press graph

36. What is the domain for a standard quadratic function?
f(x+h)-f(x)/h h cannot equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f(x)=x^3
(-infinity - +infinity)

37. Which direction does f(x+c) move
horizontal left
x math 3 graph
The second set of components of an ordered pair
When does a graph not define y as a function of x?

38. What does the square root function look like on a graph?
x^2
The slope of a line containing two points
Line ascending to the right gradually
no because you cannot have one domain pointing at two y's or ranges

39. What is slope?
inconsitent
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x)=IxI
A line passing through two distinct points

40. What is the horizontal line formula?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
down
Y=b

41. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x2)-f(x1) / x2-x1
Y=b
Approach neg toward x through zero and above positive close to x

42. Is a standard quadratic function even - odd or neither?
identity
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x+c) and f(x-c)
even

43. What is the vertical line test?
[0 -+infinity)
When does a graph not define y as a function of x?
parabola
m

44. how many ranges can you have for each domain?
x = the original sale price and the formula is x - .40x =$276
parraelle line
f(x)=x^3
only one

45. What is the vertical line formula?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
even
x=a
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

46. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
0<c<1 - horizontal stretching
Absolute Value - Constant and Standard Quadratic
Any set of ordered pairs

47. What is the formula in both horizontal stretching and horizontal shrinking?
The first set of components of an ordered pair
f(x)=IxI
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x) = x

48. What points do you use to plot the inverse on a graph?
The opposite coordinates
f(x) = x
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional

49. What is the formula for the standard cubic 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
x = the original sale price and the formula is x - .40x =$276
f(x)=x^3
Y= then enter the number then press graph

50. What does linear equation mean?
(-infinity - 0]U[0 - +infinity)
Equation of a line
f(x^1)=f(x^2)
m