Afunction h is defined by h(x)=−4x−72. if x decreases by 11, by how much does h(x) increase? a function f is defined by f(x)= 3/17 x+2. if x increases by 51, by how much does f(x) increase?

QUESTION 1

The given function is

If decreases by , then the new value is .

We need to find the value the function at which is

This simplifies to

The increment in is given by;

This simplifies to,

This further simplifies to

Therefore the corresponding increment in is .

QUESTION 2

The given function is

.

If increases by , then the new value of is .

The increment in is given by

We expand the brackets to get,

We simplify further to obtain,

Therefore the corresponding increment in is .

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.