FINAL MAT101, Milena Wencl
1. The graph of a relation y=f(x) is given
a. Is this relation a function? Why?
b. Is the inverse relation f-1 a function? Why?
c. Find X-intercepts in point form (x, y)
d. Y-intercept/s in point form (x, y)
e. Local (Relative) Maximum/s in point form (x, y)
f. Local (Relative Minimum/s in point form (x, y)
g. Intervals of Increase in interval notation
h. Interval/s of Decrease in interval notation
i. Domain in interval notation
j. Range in interval notation
k. Solutions of f(X)>0 in interval notation
l. Solutions of f(x) <0 in interval notation
m. Solutions of f(x)=0
2. Solve Graphically OR Algebraically. Round if it is necessary to 2 decimal places.
A) 3 – 4( 2 – 3x ) = 9 – ( 5 – 2x )
B) -x2 + 3x + 3 = 3×2 – x
C)
3. An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object’s height h (in meter) at time t seconds after launch is
h(t) = −4.9t2+ 150t + 100
a. What is the height above the ground when the object is launched?
b. How long before the object hits the ground after launch?
c. What is the maximum height of the object?
d. When does the object reach its maximum height?
4. Solve the system Graphically OR Algebraically
5x – 3y = 20
x – y = 2
a. Is the system independent or dependent? Why?
b. Is the system consistent or inconsistent? Why?
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