Question

Match the function with the graph

Answer 1

Choice A is the correct answer

Explanation:

First things first, the function has a y-axis symmetry and is thus an even function. Choice B and D are automatically incorrect since the sine function is always odd. I employed Desmos graphing tool to plot the two remaining functions, and choice A matched the given graph

Answer 2

Option: a is correct

a) y= -cos x

Explanation:

We could clearly see that the graph of the function passes through a point on the y-axis which is :

(0,-1)

i.e. when x=0 the value of the function y= -1

So we will check in each of the following options by putting x=0 and check whether y= -1 or not.

b)

y=sin x

on putting x=0 we get:

y=sin 0=0≠ -1.

Hence, option b is incorrect.

c)

y= cos x.

we put x=0

y= cos 0=1≠ -1.

Hence, option c) is incorrect.

d)

y= -sin x

we put x=0 to obtain:

y= -sin 0=0≠ -1.

Hence, option d is incorrect.

Hence we are left with option a i.e.

The graph represents the function:

y= -cos x. (Hence, option a is correct)

( Also it satisfies at x=0

since, y= -cos 0= -1 )