Relations & Functions
Which of the following sets represents a function?
A. {(1, 2), (2, 3), (2, 4)}
B. {(1, 5), (2, 6), (3, 7)}
C. {(1, 2), (1, 3), (1, 4)}
D. {(2, 3), (3, 3), (4, 5)}
B
A taxi charges ₱50 as flag-down + ₱15 per km. What is the function?
f(x) = 50 + 15x
if f(x) = 2x + 3, g(x) = x², find (f + g)(x)
x² + 2x + 3
Determine whether the given is a rational function, a rational equation, a rational inequality, or none of these.
x
Friday
Where was our Field Trip?
Story Book Land
Which best describes the difference between a relation and a function?
A. A function is a special relation where each input has one output.
B. A relation is a function only if outputs repeat.
C. All relations are functions.
D. Functions and relations are the same.
A
A ball is thrown upward, h(t) = -5t² + 20t + 2. What type of function is this?
Quadratic Function
if f(x) = 3x - 1, g(x) = x + 2, find (f ∘ g)(x) .
3x + 5
What day is library?
Tuesday
What did the caterpillars turn into?
Butterflys
Every function is also a relation.
A. True
B. False
C. Sometimes
D. Cannot be determined
A
For the piecewise function:
f(x) = 50 for x ≤ 5
f(x) = 50 + 10(x - 5) for x > 5
What is f(8)?
80
if f(x) = x², g(x) = x + 1, find (f - g)(x)
x² - x - 1
What day is health?
Wednesday
Who won the Super Bowl?
Which of the following is not a function?
A. f(x) = x²
B. f(x) = √ x
C. A set {(1, 2), (1, 3)}
D. f(x) = 2x + 1
C
A gym charges ₱500 per month. If you also hire a trainer for ₱200 per session, the total cost is modeled by:
f(x) = 500 + 200x
if f(x) = 1/x, g(x) = 2x, find (f * g)(x)
2
What special do we have on Thursday?
Art
Apples
Why does the vertical line test work?
A. A vertical line shows outputs repeating.
B. A vertical line shows if inputs have more than one output.
C. A vertical line finds intercepts.
D. A vertical line checks asymptotes.
B
A videoke machine can be rented for P1, 000 for three days, but for the fourth day onwards, an additional cost of P400 per day is added. Represent the cost of renting a videoke machine as a piecewise function of the number of days it is rented and plot its graph
f(x) = 1000 if 0 ≤ x ≤ 3
f(x) = 1000 + 400(x − 3) if x > 3
if f(x) = 2x + 1, g(x) = x - 3, find (g ∘ f)(2)
0
What days do we have speech?
Tuesdays and Fridays
Who destroyed our room and turned our toilet green?
Leprechaun