Provide an appropriate response.Suppose that g(0) = 3 and that g'(t) = 4 for all t. Must g(t) = 4t + 3 for all t?
What will be an ideal response?
Yes, all antiderivatives of g' are of the form G(t) = 4t + C, where C is a constant. The only such function to satisfy the initial condition g(0) = 3 is g(t) = 4t + 3.
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Use the Factor Theorem to determine whether x - c is a factor of the given function for the given value of c. If x - c is a factor, then write f in factored form. That is, write f(x) = (x - c)(quotient).f(x) = x3 + 8x2 - 18x + 20; c = 10
A. Yes; f(x) = (x - 10)(x2 - 18x + 20) B. Yes; f(x) = (x + 10)(x2 + 8x - 18) C. Yes; f(x) = (x - 10)(x2 + 8x - 18) D. No
Graph the parabola.x = y2 + 5
A. 
B. 
C. 
D. 
Describe how to obtain the graph of the given monomial function from the graph of g(x) = xn with the same power n.f(x) = -8x5
A. Vertically shrink by a factor of 
, and then reflect across x-axis
B. Vertically stretch by a factor of 8
C. Horizontally stretch by a factor of 8, and then reflect across x-axis
D. Vertically stretch by a factor of 8, and then reflect across x-axis
Use back-substitution to solve the system of linear equations below.
A. 
B. 
C. 
D. 
E. 