State whether the graph is the graph of a function. Give the domain and range.
A. A function;
Domain: all real numbers or (-?, ?);
Range: {y|y ? -1} or [-1, ?)
B. Not a function;
Domain: {x|x ? -1} or [-1, ?);
Range: all real numbers or (-?, ?)
Answer: B
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Solve the problem.Find the derivative of the function at the point
in the direction in which the function decreases most rapidly.
A. -6 B. -21 C. -14 D. -7
Rationalize the denominator and simplify.
A. 1
B.
C.
D.
Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.logb
A. 7logbm + 5logbp - 3logbn + 2 B. 7logbm + 5logbp - 3logbn - 2 C. logbm7 + logbp5 + logbn3 - logbb2 D. m7p5 - n3b2
Estimate the quotient by first approximating the dividend and divisor with numbers that can be divided more easily.
A. 8 B. 12 C. 99 D. 13