Question

Drag each tile to the correct box.

Answer 1

Answer:

1) g(x) ----> y-intercept -3

2) h(x) ----> y-intercept -1

3) f(x) ----> y-intercept 2

Step-by-step explanation:

we know that

The y-intercept or initial value, is the value of y when the value of x is equal to zero

Calculate the y-intercept of each exponential function

case 1) A function g, has a growth factor of 2 and a value of 1, and passes through the point (1,-2)

The exponential function is equal to

$g(x)=1(2)^{x}+c$

Find the value of c

For x=1, g(x)=-2

substitute

$-2=(2)^{1}+c$

$-2=2+c$

$c=-4$

so

$g(x)=(2)^{x}-4$

Find the y-intercept

For x=0

$g(0)=(2)^{0}-4$

$g(0)=-3$

case 2) Observing the table

For x=0

f(0)=2

therefore

The y-intercept of f(x) is 2

case 3) Observing the graph

For x=0

h(0)=-1

therefore

The y-intercept of h(x) is -1

Order the functions from least to greatest y-intercept

1) g(x) ----> y-intercept -3

2) h(x) ----> y-intercept -1

3) f(x) ----> y-intercept 2