Question

PLS ANSWER!!!

Answer 1

The true statement about f(x) and g(x) is (a) the graph of f(x) is less steep than the graph of g(x).

The equations are given as:

$f(x) = -\frac 34x -1$

$g(x) = -4f(x)$

Substitute $f(x) = -\frac 34x -1$ in $g(x) = -4f(x)$

$g(x) = -4(-\frac 34x -1)$

Expand

$g(x) = 3x + 4$

So, the equations of f(x) and g(x) are:

$f(x) = -\frac 34x -1$

$g(x) = 3x + 4$

A linear equation y = mx + b has a slope of m and a y-intercept of b.

So, the slopes of g(x) and f(x) are 3 and -3/4.

So, the y-intercept of g(x) and f(x) are 4 and -1

This means that

• The graph of f(x) is less steep; option (a) is true
• The y-intercept of f(x) is 5 less the y-intercept of g(x); option (b) is false

Both graphs are not the same, and they have different x-intercepts.

Hence, the true statement is (a)

Read more about linear functions at:

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