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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 steps for solving a word problem?
odd
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
Cannot be drawn in quizlet
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.

2. What does the standard cubic function look like on a graph?
The secant line
A line passing through two distinct points
postiive slope
Mirror image neg quadrant to that of the positive quandrant

3. Draw or discuss a decreasing function
Any set of ordered pairs
negative inverse
Cannot be drawn in quizlet
horizontal right

4. how many ranges can you have for each domain?
(-infinity - +infinity)
only one
f(x)=+c and f(x)-c
horizontal

5. What are the calculator instructions for a square root function?
(-infinity - +infinity)
f(x) = x
x=a
2nd key - x^2 - graph

6. What points do you use to plot the inverse on a graph?
Y
The opposite coordinates
zero slope
C>1 - horizontal shrinking

7. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
f(x)=IxI
no because you cannot have one domain pointing at two y's or ranges
Y=IxI
Yes - all the domains points to one range

8. Standard absolute value - horizontal shift formulas for left and right
The slope of a line containing two points
f(x)=suare root of x
Cannot be drawn in quizlet
f(x+c) and f(x-c)

9. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Conditional

10. What is the formula for the square root function?
Equation of a line
horizontal
Y=x^2 - graph
f(x)=suare root of x

11. Is an identity function even - odd or neither?
horizontal
odd
x math 3 graph
identity

12. What is the formula for the cube root function?
f(x)=3 square root x
A line passing through two distinct points
Absolute Value - Constant and Standard Quadratic
only one

13. Of the seven of algebra's common graph's how many are neither?
Set the x and y to zero and get the intercepts and then plot the points
f of g and g of f
(-infinity - +infinity)
Square Root

14. What are the algebra of functions?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
only one
f(x+c) and f(x-c)
(f+g) - (f-g) - (fg) - (f/g) all of x

15. what is the formula for slope?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
neither
Change in y / change in x = rise / run = y2-y1 / x2-x1
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

16. What can we substitute for f(x)?
(-infinity - +infinity)
Cannot be drawn in quizlet
Y
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

17. How are functions normally written?
Conditional
As equations
(-infinity - +infinity)
Equation of a line

18. f(x) = x^2+3x+5 - what type of formula is this?
(-infinity - +infinity)
function notation
perpendicular line
x is the hours to repair the boat. $1603-532=anwser/63 = x

19. What is the formula for the standard cubic function?
f(x+h)-f(x)/h h cannot equal zero
f(x)=x^3
Cannot be drawn in quizlet
20+.05x=5+.10x x=minutes

20. What is the domain of the cube root function?
(-infinity - +infinity)
The single number y=
m
(-infinity - 0]U[0 - +infinity)

21. What is the domain and range of a constant function?
Three odd - cube root - identity - standard cubic
odd
(-infinity - +infinity)
f(x^1)=f(x^2)

22. Which direction does f(x)=+c move in standard absolute value formula?
up
negative inverse
f(x)=IxI
in a quotient

23. What are two examples of composit functions?
The opposite coordinates
f of g and g of f
0<c<1 - horizontal stretching
Y=10

24. 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
0<c<1 - horizontal stretching
(-infinity - +infinity)
in a quotient

25. What is the formula in both horizontal stretching and horizontal shrinking?
f(x)=suare root of x
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The minimum or maximum points
postiive slope

26. 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
4 -6 -9
(f+g) - (f-g) - (fg) - (f/g) all of x
0<c<1 - horizontal stretching

27. What is the point slope formula and when do you use it?
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
Approach neg toward x through zero and above positive close to x
1 -2 -3
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

28. What does the average rate of change formula solve?
Cannot be drawn in quizlet
The slope of a line containing two points
The second set of components of an ordered pair
f(x+h)-f(x)/h h cannot equal zero

29. What is the standard quadratic function?
even
0<c<1 - horizontal stretching
x^2
even

30. What is the vertical line formula?
4 -6 -9
x is the hours to repair the boat. $1603-532=anwser/63 = x
x=a
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

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

32. In an identity function if f(10)=x than what is y?
Y
Y=10
math 4 x - graph
even

33. Of the seven of algebra's common graph's how many are odd?
f(x+c) and f(x-c)
Three odd - cube root - identity - standard cubic
A line passing through two distinct points
45 degree angle

34. What is the horizontal line formula?
Three odd - cube root - identity - standard cubic
Y=b
identity
parabola

35. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
negative inverse
odd
The single number y=

36. y=f(cx) - what does this formula represent?
Line ascending to the right gradually
horizontal
because the demintor of a quotient can never equal zero
C>1 - horizontal shrinking

37. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
perpendicular line
Y= then enter the number then press graph
only one

38. What equation does every line have? Discuss the variables.
Line ascending to the right gradually
The minimum or maximum points
0<c<1 - horizontal stretching
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.

39. 4(x-7)=4x+28 is what type of an equation?
Square Root
Piecewise
inconsitent
When does a graph not define y as a function of x?

40. What is a constant function?
Y=x^2 - graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x^1)=f(x^2)
undefined slope

41. What is the vertex?
[0 -+infinity)
The minimum or maximum points
(-infinity - +infinity)
(-infinity - +infinity)

42. What does the absolute value function look like?
only one
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
A V

43. Is a constant function even - odd or neither?
The second set of components of an ordered pair
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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
even

44. What is the range of the cube root function?
Three odd - cube root - identity - standard cubic
Set the x and y to zero and get the intercepts and then plot the points
As equations
(-infinity - +infinity)

45. What is the range for the standard cubic function?
Y
(-infinity - +infinity)
in a quotient
f(x+c) and f(x-c)

46. What does the graph of the cube root function look like on the graph?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Approach neg toward x through zero and above positive close to x
Yes - all the domains points to one range
2nd key - x^2 - graph

47. A flat line underlining one vertical line is a symbol for
perpendicular line
f(x)=+c and f(x)-c
horizontal
parabola

48. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
x^2
down
Cannot be drawn in quizlet

49. Two vertical lines side by side are a symbol for what
negative inverse
identity
The first set of components of an ordered pair
parraelle line

50. What type of slope do vertical lines have?
undefined
f(x+h)-f(x)/h h cannot equal zero
Y=x - identity function
up