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2) Your GPA is a function of the grades you earn in each class. Identify the independent and dependent variables. 3) Use the graph to the right to approximate ...
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Name: _________________________________ Date:_________________ Period: ________ ID: 2
Unit 2 Corrective Assignment – Functions and Limits
Pre‐Calculus
values represent a function:
ሺ0, 4ሻ, ሺ4,4ሻ, and ሺെ2,3ሻ? If they don’t, give a
specific reason why not.
in each class. Identify the independent and
dependent variables.
following values to the nearest tenth.
a. ݂
b. ݂ ሺ0ሻ ൌ
c. If ݂ ሺݔሻ ൌ െ2, then ൌ ݔ
d. If ݂
, then the possible value(s) of ݔ
are:
amount of time in seconds that you have spent on a Ferris Wheel, write a sentence explaining the
meaning of ܪሺ105ሻ ൌ 62.
a. b.
x
y
x
y
x
y
x
y
x
y
For 6 ‐9, name the basic function shown and write the equation****.
For 10 ‐11, identify the domain intervals where each function is increasing, decreasing, and constant. Use interval
notation.
Constant: Constant:
For 12 ‐15, identify the domain and range of each function. Use both interval notation and inequality notation.
Domain:
Interval: ______________
Inequality: ____________
Range:
Interval: ______________
Inequality: ____________
Domain:
Interval: ______________
Inequality: ____________
Range:
Interval: ______________
Inequality: ____________
Domain:
Interval: ______________
Inequality: ____________
Range:
Interval: ______________
Inequality: ____________
Domain:
Interval: ______________
Inequality: ____________
Range:
Interval: ______________
Inequality: ____________
x
y
x
y
x
y
x
y
x
y
x
y
Dependent: GPA
a) 1 b) 1 c) 0.5 d) -2.8, -1.5, or 0.
After 105 seconds on the Ferris Wheel, your height from the ground is 62 feet.
a) Function
b) Not a function
݂ ሺݔሻ ൌ intሺݔሻ
log ݔ
ሺݔሻ ൌ sin ݔ
Dec: ሺെ3, െ2ሻ
Const: ሺെ∞, െ4ሻ ∪ ሺ3, ∞ሻ
Dec: ሺെ∞, െ4ሻ ∪ ሺെ3, െ1ሻ ∪ ሺ3, െ∞ሻ
Const: ሺെ1, 2ሻ
Range: ሾ0, 3ሻ; 0 ݕ൏ 3
Range: ሾെ2, 3ሿ; െ2 ݕ 3
Range: ሺെ3, െ1ሿ; െ3 ൏ ݕ െ
and ݔ െ
Range: ሾെ2, ∞ሻ; ݕ െ
Removable discontinuity at ݔൌ െ2.
Nonremovable jump discontinuity at ݔൌ 3.
lim
௫→ିஶ݂
ሺݔሻ ൌ െ
lim
݂௫→ஶ
ሺݔሻ ൌ െ
lim
௫→ିଶ
݂ష
ሺݔሻ ൌ െ∞
lim
௫→ିଶ
݂శ
ሺݔሻ ൌ ∞
lim
௫→ିஶ݂
ሺݔሻ ൌ 3
lim
݂௫→ஶ
ሺݔሻ ൌ 3
lim
௫→ଵ
݂ష
ሺݔሻ ൌ ∞
lim
௫→ଵ
݂శ
ሺݔሻ ൌ െ∞
x -2.1 -2.01 -2.001 -2 -1.999 -1.99 -1.
f(x) -11.3 -110.3 -1100.3 Error 1099.7 109.7 10.
lim
௫→ିஶ݂
ሺݔሻ ൌ െ0.
lim
݂௫→ஶ
ሺݔሻ ൌ െ0.
lim
௫→ିଶ
݂ష
ሺݔሻ ൌ െ∞
lim
௫→ିଶ
݂శ
ሺݔሻ ൌ ∞