Two exponential functions are shown in the table.
which conclusion about f(x) and g(x) can be drawn from the
table?
f(x)=2*
g(x)=1
the functions f(x) and g(x) are reflections over the x-axis.
the functions f(x) and g(x) are reflections over the y-axis.
the function f(x) is a decreasing function, and g(x) is an
increasing function.
the function f(x) has a greater initial value than g(x).
ja
ni
--in-14

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).