Evaluate the piecewise defined function at the indicated values.a^m inHf(x)=left{begin{array}{11}{5}&{text{if}xleq2}{2x-3}&{text{if}x>2}end{array}righta^m inHf(-3),f(0),f(2),f(3),f(5)

Find the linear approximation of the function $f(x)=\sqrt{1-x}$ at $a=0$ and use it to approximate the numbers $\sqrt{0.9}$ and $\sqrt{0.99}$.

Determine whether each of these functions is a bijection from R to R.

a) $f(x)=-3x+4$

b) ${\displaystyle f\left(x\right)=-3x^2+7}$

c) $f(x)=\frac{x+1}{x+2}$
${\displaystyle d)f\left(x\right)=x^5+1}$

A baseball team plays in a stadium that holds 55,000 spectators. With ticket prices at 10, the average attendance had been 27,000. When ticket prices were lowered to10,the average attend ance had been 27,000.When ticket prices were lowered to 8, the average attendance rose to 33,000. How should ticket prices be set to maximize revenue?

Classify each function:
a) ${\displaystyle f\left(x\right)=\log 4\left(x\right)}$
b) ${\displaystyle g\left(x\right)=\sqrt[5]{x}}$
c) ${\displaystyle h\left(x\right)=2\frac{x^3}{9–x^2}}$
d) ${\displaystyle u\left(t\right)=1–1.1t_{2.52}{t}^2}$
e) ${\displaystyle v\left(t\right)=3^t}$
f) $w(\theta )=\sin \theta {\cos }^7\theta$

The graph below expresses a radical function that can be written in the form $f(x)=a(x+k{)}^{\frac{1}{n}}+c$. What does the graph tell you about the value of c in this function?

Given that f is a differentiable function with(2 , 5) = 6, f,(2 , 5) = 1, and J; ,(2, 5) = - 1, use a linear approximation to estimate f(2.2 , 4.9).

Given that $f(x)=3x-7$ and that $(f+g)(x)=7x+3$, find g(x).