1. Equation
\(y = 2x+7\)

2.Function notation \(f(x) = 2 + 7\)

2.Function notation \(f(x) = 2 + 7\)

asked 2021-06-05

Write using function notation: The function f evaluated at 3 is negative 5: ___

asked 2021-06-10

Find the absolute extrema of the function on the closed interval. \(y=3x^{\frac{2}{3}}-2x,[1,1]\)

asked 2021-05-31

Solve each inequality. \(|2x+7|\leq 13\)

asked 2021-05-17

Find the inverse of the given one-to-one function f.
\(\displaystyle{f{{\left({x}\right)}}}=\frac{{{x}-{4}}}{{{2}{x}+{1}}}\)

asked 2021-06-01

Consider the function \(f(x)=2x^{3}+6x^{2}-90x+8, [-5,4]\)

find the absolute minimum value of this function.

find the absolute maximum value of this function.

find the absolute minimum value of this function.

find the absolute maximum value of this function.

asked 2021-06-05

Find the absolute maximum value and the absolute minimum value, if any, of the function.

\(g(x)=-x^{2}+2x+6\)

\(g(x)=-x^{2}+2x+6\)

asked 2021-05-19

Consider the function \(f(x)=2x^{3}-6x^{2}-18x+9\) on the interval [-2,4].

What is the absolute minimum of f(x) on [-2,4]?

What is the absolute maximum of f(x) on [-2,4]?

What is the absolute minimum of f(x) on [-2,4]?

What is the absolute maximum of f(x) on [-2,4]?

asked 2021-05-08

Given that point (x, y) is on the graph of \(\displaystyle{y}={4}{x}^{{2}}\), express the distance from (3,4) to (x,y) as a function of x.

asked 2021-06-06

For each of the following, find the maximum and minimum values attained by the function f along the path c(t):

(a) \(f(x,y) = xy. c(t) = (cost,sint). 0 \leq t \leq 2 \pi\)

(a) \(f(x,y) = xy. c(t) = (cost,sint). 0 \leq t \leq 2 \pi\)

asked 2021-05-18

\(\displaystyle{f{{\left({x}\right)}}}={\left\lbrace{x}^{{2}}+{2},{x}\le{1};{2}{x}^{{2}}+{2},{x}{>}{1}\right\rbrace}\)

a) f(-2) b) f(1)

a) f(-2) b) f(1)