Find p(2) and p(–5) for the function using direct substitution:
p(x) = 3x + 4
Find p(3) and p(–2) for the function using direct substitution:
p(x) = 3x3 – 2x2 – 4x + 2
Find p(4) and p(–3) for the function using direct substitution:
p(x) = –3x4 + 45
Find f(x + h) for the function using direct substitution:
f(x) = 3x + 5
Find 2[ p(x)] for the function using direct substitution:
p(x) = 7x2 + 5
Find 3[ p(x)] for the function using direct substitution:
The population P(x) of Manhattan Island is given as
where x is the number of 20–year periods since 1890. Find P(2).
Determine whether the graph rises or fall to the right:
f(x) = 5x4 –2x
Find the maximum number of turns in the graph:
3x6 – 2x + 5
Describe the left and right behaviors of the graph:
f(x) = 11x2 + 1
f(x) = 7x7 – 4x6 + 3x2 + 2
Graph: y = x3 + 4x2 – x – 4. State the end behavior and the x– and y–intercepts.
Graph: y = x2 + 4x + 4. State the end behavior and the x– and y–intercepts.
Graph: y = –x4 –x2 + 20. State the end behavior and the x– and y– intercepts.
Graph: y = x3 – 5. State the end behavior and the x– and y–intercepts.
Determine how the graph of g(x) = x2 + 3 is related to the graph of f(x) = x2:
Describe the transformation of g that would produce f:
f(x) = (x – 2)3
g(x) = x3
f(x) = – x5
g(x) = x5
Sketch the graph:
f(x) = x3 + 2
f(x) = (x + 1)2
f(x) = – x3 – 4
Graph: y = –x4 – x2 + 20. State the end behavior and the x– and y– intercepts.
