Function B has a rate of change ( or slope) of 11-5 / 3-1 = 6/2 = 3

Function L y = 6x + 4 has a rate of change of 6 . Higher than function B.

To find y intercept of function B;

y = 3x + b where b = y intercept, when x = -3 y = -7 so
-7 = 3(-3) + b giving b = 2

y intercept of Function B is 2 and of function L it is 4

L has greatest y intercept

4 0

4 years ago

Suppose f(x)={5x7x+c for x≥9, for x<9. In order to make f(x) continuous for all x in (−[infinity],[infinity]), what number sh

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Answer:

$c=-18$

Step-by-step explanation:

We have been given a piece-wise function. We are asked to find the value of possible value of c that will make the function continuous for all x in $(-\infty,\infty)$ .

$\left \{ {{f(x)=5x,\text{ for }x\geq 9} \atop {f(x)=7x+c,\text{ for }x>9}} \right.$

We know that a piece-wise function is continuous when right hand side limit is equal to left hand side limit.

To find the value of c that will make function continuous, we need to find the value of c at $x=9$ by equating both side functions as:

$7x+c=5x$

$7(9)+c=5(9)$

$63+c=45$

$63-63+c=45-63$

$c=-18$

Therefore, $c=-18$ will make the function continuous for all x in $(-\infty,\infty)$ .

5 0

4 years ago