Find the function f given that the slope of the tangent line to the graph of f at any point 
is 
and that the graph of f passes through the given point.
?
What will be an ideal response?
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This model is of the form f(x) = mx + b. Determine what m and b signify.The population, in millions, of a city t years after 1990 is given by 
A. 2.7 million is the population of the city in 1990 and 0.10 million is the decrease per year in the population . B. 0.10 million is the population of the city in 1990 and 2.7 million is the increase per year in the population . C. 2.7 million is the population of the city in 1991 and 2.8 million is the population in 1992. D. 2.7 million is the population of the city in 1990 and 0.10 million is the increase per year in the population .
Use the graph of a known basic function and a combination of horizontal shifts, reflections, and vertical shifts to sketch the function.g(x) = 
A. 
B. 
C. 
D. 
Write the expression in lowest terms.
A. 
B. 
C. 
D. 
Determine where the given function is concave up and where it is concave down. f(x) = -x3 + 8x + 2
A. Concave down on (-?, 0), concave up on (0, ?) B. Concave up on (-?, 2), concave down on (2, ?) C. Concave down on (-?, 2), concave up on (2, ?) D. Concave up on (-?, 0), concave down on (0, ?)