find the values of b such that the function has the given maximum or minimum value.f(x) = -x^2+bx-75,Maximum value: 25

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

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 $\sqrt{0.99}$.

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?

Match the function with its name: f(x) = c
a) squaring function
b) square root function
c) cubic function
d) linear function
e) constant function
f) absolute value function
g) greatest integer function
h) reciprocal function
i) identity function

Rewrite the following without the absolute value symbols.
$|x-11|<6$
$x<5$
$x>17$ or $x<5$
$x<17$ or $x>5$
$x>17$
$x>17$ and $x<5$

Find the nth Maclaurin polynomial for the function. ${\displaystyle f\left(x\right)=e^{-x},n=5}$

Plot the complex number and find its absolute value.
z=9i