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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 is the formula for to calculate the difference of a quotient function?
horizontal left
parabola
Conditional
f(x+h)-f(x)/h h cannot equal zero

2. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
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 - +infinity)
down

3. What is another way of writing the absolute value function?
Y=IxI
45 degree angle
The minimum or maximum points
in a quotient

4. What is the slope intercept formula? Define all the variables.
The secant line
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

5. What does the absolute value function look like?
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
A V
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.
C>1 - horizontal shrinking

6. x=all real numbers is what type of an equation?
because the demintor of a quotient can never equal zero
The secant line
identity
(-infinity - +infinity)

7. What is a constant function?
f(x^1)=f(x^2)
Conditional
Y=b
When does a graph not define y as a function of x?

8. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
because the demintor of a quotient can never equal zero
Absolute Value - Constant and Standard Quadratic
undefined

9. What are the calculator instructions for a standard quadratic equation?
A line passing through two distinct points
Y=x^2 - graph
Y=x - identity function
horizontal

10. What can we substitute for f(x)?
Approach neg toward x through zero and above positive close to x
in a quotient
The second set of components of an ordered pair
Y

11. Draw or discuss a decreasing function
When does a graph not define y as a function of x?
As many as you like
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.
Cannot be drawn in quizlet

12. What is the domain for a standard quadratic function?
Cannot be drawn in quizlet
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
even

13. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
odd
no because you cannot have one domain pointing at two y's or ranges
Three odd - cube root - identity - standard cubic

14. 4(x-7)=4x+28 is what type of an equation?
inconsitent
f(x2)-f(x1) / x2-x1
Y= then enter the number then press 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.

15. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
x = the original sale price and the formula is x - .40x =$276
even
Equation of a line

16. 4(x-7)=4x-28 is what type of an equation?
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - 0]U[0 - +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
identity

17. What are the calculator instructions for the cube root function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x) = x
same
math 4 x - graph

18. What is the domain for an absolute value function?
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)
As equations
f(x+c) and f(x-c)

19. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
inconsitent
A line passing through two distinct points
f(x2)-f(x1) / x2-x1

20. What does the square root function look like on a graph?
in a quotient
inconsitent
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Line ascending to the right gradually

21. What is slope?
A line passing through two distinct points
Y=x - identity function
(-infinity - +infinity)
(-infinity - +infinity)

22. What does the average rate of change formula solve?
f(x)=+c and f(x)-c
The slope of a line containing two points
Cannot be drawn in quizlet
x math 3 graph

23. What is the formula for the square root function?
f(x)=suare root of x
Piecewise
(-infinity - +infinity)
(-infinity - +infinity)

24. What is the domain of a square root function?
Y=x^2 - graph
negative inverse
x math 3 graph
[0 -+infinity)

25. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Y=x - identity function
The minimum or maximum points
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

26. What does linear equation mean?
Equation of a line
Set the x and y to zero and get the intercepts and then plot the points
horizontal left
Approach neg toward x through zero and above positive close to x

27. f(x) = x^2+3x+5 - what type of formula is this?
function notation
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) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
x math 3 graph

28. What is an identity function?
0<c<1 - horizontal stretching
2nd catalog (zero key -) abs(x) - graph
45 degree angle
A line passing through two distinct points

29. What points do you use to plot the inverse on a graph?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The opposite coordinates
When does a graph not define y as a function of x?
odd

30. What does the standard cubic function look like on a graph?
(-infinity - +infinity)
4 -6 -9
down
Mirror image neg quadrant to that of the positive quandrant

31. What is the slope of a perpendicular line?
neither
Approach neg toward x through zero and above positive close to x
f(x2)-f(x1) / x2-x1
negative inverse

32. 4x+5x=8x is what type of an equation?
Conditional
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.
even
The single number y=

33. What is the domain of the cube root function?
(-infinity - +infinity)
down
horizontal right
f(x2)-f(x1) / x2-x1

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?
f of g and g of f
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
The secant line
no because you cannot have one domain pointing at two y's or ranges

35. How would this formula move f(x)=(x+1)^2-3
x2-x1 because the demonaitor of a quotient can never equal zero
Yes - all the domains points to one range
(-infinity - +infinity)
parabola - up one and right three

36. What is the formula for an identity function?
f(x) = x
Any set of ordered pairs
[0 -+infinity)
x = the original sale price and the formula is x - .40x =$276

37. What type of slope do you have when a line rises from left to right and m>0?
Line ascending to the right gradually
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
postiive slope

38. 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
(-infinity - +infinity)
2nd key - x^2 - graph
inconsitent

39. What is the vertex?
Piecewise
Square Root
odd
The minimum or maximum points

40. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
The second set of components of an ordered pair
up
negative slope

41. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Set the x and y to zero and get the intercepts and then plot the points
Three odd - cube root - identity - standard cubic
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
45 degree angle

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

43. What are the four steps for finding the inverse of a function?
even
zero slope
The slope of a line containing two points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

44. 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
perpendicular line
[0 -+infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

45. Of the seven of algebra's common graph's how many are neither?
f(x)=IxI
Equation of a line
Square Root
[0 -+infinity)

46. What is the horizontal line formula?
(f+g) - (f-g) - (fg) - (f/g) all of 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
Y=b
only one

47. What equation does every line have? Discuss the variables.
Y= then enter the number then press 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.
negative slope
f(x) = x

48. What is the formula for an absolute value function?
45 degree angle
4 -6 -9
f(x)=IxI
(-infinity - +infinity)

49. When is the only time (-infinity - +infinity) is not the domain?
The slope of a line containing two points
math 4 x - graph
(-infinity - +infinity)
in a quotient

50. What is the range of the cube root function?
(-infinity - +infinity)
parabola - up one and right three
horizontal
because the demintor of a quotient can never equal zero