1. m∠ABD=50°, m∠DBC=40° Given 2. m∠ABD+m∠DBC=m∠ABC Response area 3. Response area Substitution Property of Equality 4. Response area Simplifying 5. ∠ABC is a right angle. Response area 6. △ABC is a right triangle. Definition of right triangle

Which is the graph of f(x) = (4)x? image for option 1 image for option 2 image for option 3 image for option 4

If f(x) = 4x – 3 and g(x) = 8x + 2, find each function value a.f[g(3)] b.g[f(5)] c.g{f[g(-4)]}

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.