MAT 101 FINAL ACTUAL TEST QUESTIONS AND
SOLVED ANSWERS
◉ Asymptote for Exponential Functions.
Answer: HORIZONTAL, y=k
◉ Asymptote for Logarithm Functions.
Answer: VERTICAL, x=h
◉ (f o g)(x)=.
Answer: Means f of g of x. Put g into f, f(g(x))
NOT MULTIPLICATION
◉ In, y=af(b(x-h))+ k, what does A do to the graph?.
Answer: vertical stretch or compression. To apply this to your graph,
multiply your Y values by A.
◉ In, y=af(b(x-h))+ k, what does B do to the graph?.
Answer: horizontal stretch or compression. To apply this to your
graph, multiply your X values by 1/B
, ◉ In, y=af(b(x-h))+ k, what does H do to the graph?.
Answer: Shifts the graph left or right. To apply this to your graph,
add or subtract your X values by h
◉ In, y=af(b(x-h))+ k, what does K do to the graph?.
Answer: Shifts the graph up or down. To apply this to your graph,
add or subtract your X values by K
◉ Average rate of change [a, b] (formula).
Answer: (f(b)-f(a))/(b-a)
Basically, the slope formula
◉ How to find average rate of change over [a, b].
Answer: 1) Find the y values for a and b
2) SLOPE
◉ parallel lines (slopes).
Answer: same slope
◉ perpendicular lines (slopes).
Answer: opposite reciprocal slopes
SOLVED ANSWERS
◉ Asymptote for Exponential Functions.
Answer: HORIZONTAL, y=k
◉ Asymptote for Logarithm Functions.
Answer: VERTICAL, x=h
◉ (f o g)(x)=.
Answer: Means f of g of x. Put g into f, f(g(x))
NOT MULTIPLICATION
◉ In, y=af(b(x-h))+ k, what does A do to the graph?.
Answer: vertical stretch or compression. To apply this to your graph,
multiply your Y values by A.
◉ In, y=af(b(x-h))+ k, what does B do to the graph?.
Answer: horizontal stretch or compression. To apply this to your
graph, multiply your X values by 1/B
, ◉ In, y=af(b(x-h))+ k, what does H do to the graph?.
Answer: Shifts the graph left or right. To apply this to your graph,
add or subtract your X values by h
◉ In, y=af(b(x-h))+ k, what does K do to the graph?.
Answer: Shifts the graph up or down. To apply this to your graph,
add or subtract your X values by K
◉ Average rate of change [a, b] (formula).
Answer: (f(b)-f(a))/(b-a)
Basically, the slope formula
◉ How to find average rate of change over [a, b].
Answer: 1) Find the y values for a and b
2) SLOPE
◉ parallel lines (slopes).
Answer: same slope
◉ perpendicular lines (slopes).
Answer: opposite reciprocal slopes
