Answer to Question #105034 in Algebra for Bayrkhuu

Question

The graphs of functions f, g are given. Find the values ​​of (a) f (−4) and f (3).
What value of (b) has f (x) = g (x)?
(c) Find the approximate solution of the equation f (x) = −1.
(d) In what interval does f decrease?
(e) Find the determinable range of the function f and the range of values.
(f) Find the range and the range of values ​​of the function g.

Answer 1

The graphs of functions f, g are given.

(a)Find the values ​​of $f(-4)$ and $f(3).$

$$f(-4)=1, f(3)=0.8$$

(b) What value of $x$ has $f(x)=g(x)$ ? 

$$x_1=-6, f(-6)=5=g(-6)$$

$$x_2=3, f(3)=1=g(3)$$

$$x_3=4, f(4)=0=g(4)$$

(c) Find the approximate solution of the equation $f(x)=-1$

$$x\approx4.7$$

(d) In what interval does $f$ decrease? 

$f$ decreases for $x\in (-\infin,-2)\cup(2,\infin)$

(e) Find the determinable range of the function f and the range of values. 

the determinable range of the function $f: (-\infin,\infin)$

the range of values$:[-4,5]$

(f) Find the range and the range of values ​​of the function g.

the range of the function $g: (-\infin,\infin)$

the range of values $:[-1,5]$