Define a function f(x)=60x+240 for all positive real values x. What is the function value for x=31.3? Round your answer to 2 decimal places.

Use a calculator to evaluate the function at the indicated value of x. Round your result to three decimal places.Function Valuef(x) = 1.3xx = 45

Use a graphing utility to construct a table of values for the function. (Round your answers to three decimal places.)x f(x) = 52 −x −2−1 012

Consider the function f(x)=27x2 −16x,x≠0.Sketch the graph of y = f (x), for −4 ≤ x ≤ 3 and −50 ≤ y ≤ 100.[4]a.Use your graphic display calculator to find the equation of the tangent to the graph of y = f (x) at the point (–2, 38.75).Give your answer in the form y = mx + c.

Evaluate the function f(x) at the given numbers. (Round your answers to six decimal places.)f(x) = 5ex − 5 − 5xx2, x = 1, 0.5, 0.1, 0.05, 0.01, −1, −0.5, −0.1, −0.05, −0.01f(1) = f(0.5) = f(0.1) = f(0.05) = f(0.01) = f(−1) = f(−0.5) = f(−0.1) = f(−0.05) = f(−0.01) = Guess the value of the limit of f(x) as x approaches 0. (Round your answer to six decimal places. If an answer does not exist, enter DNE.)lim x→0 5ex − 5 − 5xx2 =

Write a C program to calculate the value of f(x) if x has different ranges of values as below.f(x) = x2 + 2if 0<=x<=10f(x) = x2 + 2x   if 11<=x<=20f(x) = x3 + 2x2 if 21<=x<=30f(x) = 0   if x > 30