Given the function f(x)= x^4-3x^3-2x^2+5x+1, use the intermediate value theorem to decide which of the following intervals contains at least one zero. select all that apply.
a) [-2,-1]
b) [-1,0]
c) [0,1]
d) [1,2]
e) [2,3]
f) [3,4]

Step-by-step explanation:

There are changes in the sign of the function value in the intervals listed above. Consequently, there must be a zero in the interval.

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It is a 4th degree function and we have found locations for 4 zeros. There are no more, and none of these intervals has two zeros.

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.